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Finding the Fourth Proportional to 2,034.16, 2,803.08 and 1,723.12

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Solution

The fourth proportional to 2,034.16, 2,803.08 and 1,723.12 is: 2,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.16 : 2,803.08 = 1,723.12 : x
  2. Step 2: Convert to fraction form
    2,034.16/2,803.08 = 1,723.12/x
  3. Step 3: Cross multiply
    2,034.16x = 2,803.08 × 1,723.12
  4. Step 4: Simplify right side
    2,034.16x = 4,830,043.21
  5. Step 5: Solve for x
    x = 4,830,043.21/2,034.16
  6. Step 6: Final answer
    x = 2,374.47

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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.