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Finding the Fourth Proportional to 1,581.66, 2,371.50 and 606.60

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Solution

The fourth proportional to 1,581.66, 2,371.50 and 606.60 is: 909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.66 : 2,371.50 = 606.60 : x
  2. Step 2: Convert to fraction form
    1,581.66/2,371.50 = 606.60/x
  3. Step 3: Cross multiply
    1,581.66x = 2,371.50 × 606.60
  4. Step 4: Simplify right side
    1,581.66x = 1,438,551.90
  5. Step 5: Solve for x
    x = 1,438,551.90/1,581.66
  6. Step 6: Final answer
    x = 909.52

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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.