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Finding the Fourth Proportional to 1,931.64, 2,665.65 and 1,233.42

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Solution

The fourth proportional to 1,931.64, 2,665.65 and 1,233.42 is: 1,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.64 : 2,665.65 = 1,233.42 : x
  2. Step 2: Convert to fraction form
    1,931.64/2,665.65 = 1,233.42/x
  3. Step 3: Cross multiply
    1,931.64x = 2,665.65 × 1,233.42
  4. Step 4: Simplify right side
    1,931.64x = 3,287,866.02
  5. Step 5: Solve for x
    x = 3,287,866.02/1,931.64
  6. Step 6: Final answer
    x = 1,702.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.