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Finding the Fourth Proportional to 2,543.16, 3,509.51 and 1,657.29

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Solution

The fourth proportional to 2,543.16, 3,509.51 and 1,657.29 is: 2,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.16 : 3,509.51 = 1,657.29 : x
  2. Step 2: Convert to fraction form
    2,543.16/3,509.51 = 1,657.29/x
  3. Step 3: Cross multiply
    2,543.16x = 3,509.51 × 1,657.29
  4. Step 4: Simplify right side
    2,543.16x = 5,816,275.83
  5. Step 5: Solve for x
    x = 5,816,275.83/2,543.16
  6. Step 6: Final answer
    x = 2,287.03

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