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Finding the Fourth Proportional to 2,803.64, 3,867.53 and 1,741.07

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Solution

The fourth proportional to 2,803.64, 3,867.53 and 1,741.07 is: 2,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.64 : 3,867.53 = 1,741.07 : x
  2. Step 2: Convert to fraction form
    2,803.64/3,867.53 = 1,741.07/x
  3. Step 3: Cross multiply
    2,803.64x = 3,867.53 × 1,741.07
  4. Step 4: Simplify right side
    2,803.64x = 6,733,631.75
  5. Step 5: Solve for x
    x = 6,733,631.75/2,803.64
  6. Step 6: Final answer
    x = 2,401.75

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.