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Finding the Fourth Proportional to 1,439.68, 1,987.20 and 973.92

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Solution

The fourth proportional to 1,439.68, 1,987.20 and 973.92 is: 1,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.68 : 1,987.20 = 973.92 : x
  2. Step 2: Convert to fraction form
    1,439.68/1,987.20 = 973.92/x
  3. Step 3: Cross multiply
    1,439.68x = 1,987.20 × 973.92
  4. Step 4: Simplify right side
    1,439.68x = 1,935,373.82
  5. Step 5: Solve for x
    x = 1,935,373.82/1,439.68
  6. Step 6: Final answer
    x = 1,344.31

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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.