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Finding the Fourth Proportional to 1,342.60, 2,011.55 and 932.00

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Solution

The fourth proportional to 1,342.60, 2,011.55 and 932.00 is: 1,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.60 : 2,011.55 = 932.00 : x
  2. Step 2: Convert to fraction form
    1,342.60/2,011.55 = 932.00/x
  3. Step 3: Cross multiply
    1,342.60x = 2,011.55 × 932.00
  4. Step 4: Simplify right side
    1,342.60x = 1,874,749.88
  5. Step 5: Solve for x
    x = 1,874,749.88/1,342.60
  6. Step 6: Final answer
    x = 1,396.36

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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.