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Finding the Fourth Proportional to 1,445.95, 2,171.61 and 753.10

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Solution

The fourth proportional to 1,445.95, 2,171.61 and 753.10 is: 1,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.95 : 2,171.61 = 753.10 : x
  2. Step 2: Convert to fraction form
    1,445.95/2,171.61 = 753.10/x
  3. Step 3: Cross multiply
    1,445.95x = 2,171.61 × 753.10
  4. Step 4: Simplify right side
    1,445.95x = 1,635,434.06
  5. Step 5: Solve for x
    x = 1,635,434.06/1,445.95
  6. Step 6: Final answer
    x = 1,131.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.