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Finding the Fourth Proportional to 1,615.47, 2,423.24 and 575.45

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Solution

The fourth proportional to 1,615.47, 2,423.24 and 575.45 is: 863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.47 : 2,423.24 = 575.45 : x
  2. Step 2: Convert to fraction form
    1,615.47/2,423.24 = 575.45/x
  3. Step 3: Cross multiply
    1,615.47x = 2,423.24 × 575.45
  4. Step 4: Simplify right side
    1,615.47x = 1,394,453.46
  5. Step 5: Solve for x
    x = 1,394,453.46/1,615.47
  6. Step 6: Final answer
    x = 863.19

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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.