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Finding the Fourth Proportional to 2,543.16, 3,510.14 and 1,657.40

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Solution

The fourth proportional to 2,543.16, 3,510.14 and 1,657.40 is: 2,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.16 : 3,510.14 = 1,657.40 : x
  2. Step 2: Convert to fraction form
    2,543.16/3,510.14 = 1,657.40/x
  3. Step 3: Cross multiply
    2,543.16x = 3,510.14 × 1,657.40
  4. Step 4: Simplify right side
    2,543.16x = 5,817,706.04
  5. Step 5: Solve for x
    x = 5,817,706.04/2,543.16
  6. Step 6: Final answer
    x = 2,287.59

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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.