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Finding the Fourth Proportional to 1,333.81, 2,001.76 and 925.82

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Solution

The fourth proportional to 1,333.81, 2,001.76 and 925.82 is: 1,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.81 : 2,001.76 = 925.82 : x
  2. Step 2: Convert to fraction form
    1,333.81/2,001.76 = 925.82/x
  3. Step 3: Cross multiply
    1,333.81x = 2,001.76 × 925.82
  4. Step 4: Simplify right side
    1,333.81x = 1,853,257.12
  5. Step 5: Solve for x
    x = 1,853,257.12/1,333.81
  6. Step 6: Final answer
    x = 1,389.45

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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.