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Finding the Fourth Proportional to 3,000.51, 4,140.74 and 1,741.65

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Solution

The fourth proportional to 3,000.51, 4,140.74 and 1,741.65 is: 2,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.51 : 4,140.74 = 1,741.65 : x
  2. Step 2: Convert to fraction form
    3,000.51/4,140.74 = 1,741.65/x
  3. Step 3: Cross multiply
    3,000.51x = 4,140.74 × 1,741.65
  4. Step 4: Simplify right side
    3,000.51x = 7,211,711.11
  5. Step 5: Solve for x
    x = 7,211,711.11/3,000.51
  6. Step 6: Final answer
    x = 2,403.50

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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.