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Finding the Fourth Proportional to 2,657.32, 3,667.17 and 1,538.60

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Solution

The fourth proportional to 2,657.32, 3,667.17 and 1,538.60 is: 2,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.32 : 3,667.17 = 1,538.60 : x
  2. Step 2: Convert to fraction form
    2,657.32/3,667.17 = 1,538.60/x
  3. Step 3: Cross multiply
    2,657.32x = 3,667.17 × 1,538.60
  4. Step 4: Simplify right side
    2,657.32x = 5,642,307.76
  5. Step 5: Solve for x
    x = 5,642,307.76/2,657.32
  6. Step 6: Final answer
    x = 2,123.31

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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.