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Finding the Fourth Proportional to 1,871.47, 2,807.20 and 945.75

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Solution

The fourth proportional to 1,871.47, 2,807.20 and 945.75 is: 1,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.47 : 2,807.20 = 945.75 : x
  2. Step 2: Convert to fraction form
    1,871.47/2,807.20 = 945.75/x
  3. Step 3: Cross multiply
    1,871.47x = 2,807.20 × 945.75
  4. Step 4: Simplify right side
    1,871.47x = 2,654,909.40
  5. Step 5: Solve for x
    x = 2,654,909.40/1,871.47
  6. Step 6: Final answer
    x = 1,418.62

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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.