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Finding the Fourth Proportional to 2,609, 3,913.50 and 760.16

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Solution

The fourth proportional to 2,609, 3,913.50 and 760.16 is: 1,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609 : 3,913.50 = 760.16 : x
  2. Step 2: Convert to fraction form
    2,609/3,913.50 = 760.16/x
  3. Step 3: Cross multiply
    2,609x = 3,913.50 × 760.16
  4. Step 4: Simplify right side
    2,609x = 2,974,886.16
  5. Step 5: Solve for x
    x = 2,974,886.16/2,609
  6. Step 6: Final answer
    x = 1,140.24

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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.