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Finding the Fourth Proportional to 1,509.33, 2,257.87 and 1,306.17

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Solution

The fourth proportional to 1,509.33, 2,257.87 and 1,306.17 is: 1,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.33 : 2,257.87 = 1,306.17 : x
  2. Step 2: Convert to fraction form
    1,509.33/2,257.87 = 1,306.17/x
  3. Step 3: Cross multiply
    1,509.33x = 2,257.87 × 1,306.17
  4. Step 4: Simplify right side
    1,509.33x = 2,949,147.50
  5. Step 5: Solve for x
    x = 2,949,147.50/1,509.33
  6. Step 6: Final answer
    x = 1,953.95

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Why These Related Problems?

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