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Finding the Fourth Proportional to 1,616.30, 2,424.45 and 577.48

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Solution

The fourth proportional to 1,616.30, 2,424.45 and 577.48 is: 866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.30 : 2,424.45 = 577.48 : x
  2. Step 2: Convert to fraction form
    1,616.30/2,424.45 = 577.48/x
  3. Step 3: Cross multiply
    1,616.30x = 2,424.45 × 577.48
  4. Step 4: Simplify right side
    1,616.30x = 1,400,059.26
  5. Step 5: Solve for x
    x = 1,400,059.26/1,616.30
  6. Step 6: Final answer
    x = 866.21

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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.