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Finding the Fourth Proportional to 2,599.42, 3,585.32 and 1,654.28

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Solution

The fourth proportional to 2,599.42, 3,585.32 and 1,654.28 is: 2,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.42 : 3,585.32 = 1,654.28 : x
  2. Step 2: Convert to fraction form
    2,599.42/3,585.32 = 1,654.28/x
  3. Step 3: Cross multiply
    2,599.42x = 3,585.32 × 1,654.28
  4. Step 4: Simplify right side
    2,599.42x = 5,931,123.17
  5. Step 5: Solve for x
    x = 5,931,123.17/2,599.42
  6. Step 6: Final answer
    x = 2,281.71

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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.