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Finding the Fourth Proportional to 1,560.31, 2,337.76 and 1,194.01

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Solution

The fourth proportional to 1,560.31, 2,337.76 and 1,194.01 is: 1,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.31 : 2,337.76 = 1,194.01 : x
  2. Step 2: Convert to fraction form
    1,560.31/2,337.76 = 1,194.01/x
  3. Step 3: Cross multiply
    1,560.31x = 2,337.76 × 1,194.01
  4. Step 4: Simplify right side
    1,560.31x = 2,791,308.82
  5. Step 5: Solve for x
    x = 2,791,308.82/1,560.31
  6. Step 6: Final answer
    x = 1,788.95

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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.