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Finding the Fourth Proportional to 2,598.25, 3,585.92 and 1,715.89

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Solution

The fourth proportional to 2,598.25, 3,585.92 and 1,715.89 is: 2,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.25 : 3,585.92 = 1,715.89 : x
  2. Step 2: Convert to fraction form
    2,598.25/3,585.92 = 1,715.89/x
  3. Step 3: Cross multiply
    2,598.25x = 3,585.92 × 1,715.89
  4. Step 4: Simplify right side
    2,598.25x = 6,153,044.27
  5. Step 5: Solve for x
    x = 6,153,044.27/2,598.25
  6. Step 6: Final answer
    x = 2,368.15

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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.