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Finding the Fourth Proportional to 1,419.60, 2,131.13 and 803.73

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Solution

The fourth proportional to 1,419.60, 2,131.13 and 803.73 is: 1,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.60 : 2,131.13 = 803.73 : x
  2. Step 2: Convert to fraction form
    1,419.60/2,131.13 = 803.73/x
  3. Step 3: Cross multiply
    1,419.60x = 2,131.13 × 803.73
  4. Step 4: Simplify right side
    1,419.60x = 1,712,853.11
  5. Step 5: Solve for x
    x = 1,712,853.11/1,419.60
  6. Step 6: Final answer
    x = 1,206.57

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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.