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Finding the Fourth Proportional to 1,419.47, 2,128.70 and 869.99

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Solution

The fourth proportional to 1,419.47, 2,128.70 and 869.99 is: 1,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.47 : 2,128.70 = 869.99 : x
  2. Step 2: Convert to fraction form
    1,419.47/2,128.70 = 869.99/x
  3. Step 3: Cross multiply
    1,419.47x = 2,128.70 × 869.99
  4. Step 4: Simplify right side
    1,419.47x = 1,851,947.71
  5. Step 5: Solve for x
    x = 1,851,947.71/1,419.47
  6. Step 6: Final answer
    x = 1,304.68

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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.