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Finding the Fourth Proportional to 1,657.07, 2,487.12 and 1,041.87

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Solution

The fourth proportional to 1,657.07, 2,487.12 and 1,041.87 is: 1,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.07 : 2,487.12 = 1,041.87 : x
  2. Step 2: Convert to fraction form
    1,657.07/2,487.12 = 1,041.87/x
  3. Step 3: Cross multiply
    1,657.07x = 2,487.12 × 1,041.87
  4. Step 4: Simplify right side
    1,657.07x = 2,591,255.71
  5. Step 5: Solve for x
    x = 2,591,255.71/1,657.07
  6. Step 6: Final answer
    x = 1,563.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.