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Finding the Fourth Proportional to 1,931.90, 2,666.05 and 1,047.71

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Solution

The fourth proportional to 1,931.90, 2,666.05 and 1,047.71 is: 1,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.90 : 2,666.05 = 1,047.71 : x
  2. Step 2: Convert to fraction form
    1,931.90/2,666.05 = 1,047.71/x
  3. Step 3: Cross multiply
    1,931.90x = 2,666.05 × 1,047.71
  4. Step 4: Simplify right side
    1,931.90x = 2,793,231.30
  5. Step 5: Solve for x
    x = 2,793,231.30/1,931.90
  6. Step 6: Final answer
    x = 1,445.84

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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.