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Finding the Fourth Proportional to 1,626.18, 2,440.14 and 760.50

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Solution

The fourth proportional to 1,626.18, 2,440.14 and 760.50 is: 1,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.18 : 2,440.14 = 760.50 : x
  2. Step 2: Convert to fraction form
    1,626.18/2,440.14 = 760.50/x
  3. Step 3: Cross multiply
    1,626.18x = 2,440.14 × 760.50
  4. Step 4: Simplify right side
    1,626.18x = 1,855,726.47
  5. Step 5: Solve for x
    x = 1,855,726.47/1,626.18
  6. Step 6: Final answer
    x = 1,141.16

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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.