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Finding the Fourth Proportional to 1,957.59, 2,698.32 and 1,531.47

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Solution

The fourth proportional to 1,957.59, 2,698.32 and 1,531.47 is: 2,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.59 : 2,698.32 = 1,531.47 : x
  2. Step 2: Convert to fraction form
    1,957.59/2,698.32 = 1,531.47/x
  3. Step 3: Cross multiply
    1,957.59x = 2,698.32 × 1,531.47
  4. Step 4: Simplify right side
    1,957.59x = 4,132,396.13
  5. Step 5: Solve for x
    x = 4,132,396.13/1,957.59
  6. Step 6: Final answer
    x = 2,110.96

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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.