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Finding the Fourth Proportional to 1,613.52, 2,417.74 and 1,288.80

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Solution

The fourth proportional to 1,613.52, 2,417.74 and 1,288.80 is: 1,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.52 : 2,417.74 = 1,288.80 : x
  2. Step 2: Convert to fraction form
    1,613.52/2,417.74 = 1,288.80/x
  3. Step 3: Cross multiply
    1,613.52x = 2,417.74 × 1,288.80
  4. Step 4: Simplify right side
    1,613.52x = 3,115,983.31
  5. Step 5: Solve for x
    x = 3,115,983.31/1,613.52
  6. Step 6: Final answer
    x = 1,931.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.