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Finding the Fourth Proportional to 1,616.61, 2,424.76 and 521.76

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Solution

The fourth proportional to 1,616.61, 2,424.76 and 521.76 is: 782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.61 : 2,424.76 = 521.76 : x
  2. Step 2: Convert to fraction form
    1,616.61/2,424.76 = 521.76/x
  3. Step 3: Cross multiply
    1,616.61x = 2,424.76 × 521.76
  4. Step 4: Simplify right side
    1,616.61x = 1,265,141.47
  5. Step 5: Solve for x
    x = 1,265,141.47/1,616.61
  6. Step 6: Final answer
    x = 782.59

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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.