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Finding the Fourth Proportional to 2,445.91, 3,666.61 and 885.55

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Solution

The fourth proportional to 2,445.91, 3,666.61 and 885.55 is: 1,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.91 : 3,666.61 = 885.55 : x
  2. Step 2: Convert to fraction form
    2,445.91/3,666.61 = 885.55/x
  3. Step 3: Cross multiply
    2,445.91x = 3,666.61 × 885.55
  4. Step 4: Simplify right side
    2,445.91x = 3,246,966.49
  5. Step 5: Solve for x
    x = 3,246,966.49/2,445.91
  6. Step 6: Final answer
    x = 1,327.51

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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.