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Finding the Fourth Proportional to 1,384.40, 2,070.60 and 1,239.20

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Solution

The fourth proportional to 1,384.40, 2,070.60 and 1,239.20 is: 1,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.40 : 2,070.60 = 1,239.20 : x
  2. Step 2: Convert to fraction form
    1,384.40/2,070.60 = 1,239.20/x
  3. Step 3: Cross multiply
    1,384.40x = 2,070.60 × 1,239.20
  4. Step 4: Simplify right side
    1,384.40x = 2,565,887.52
  5. Step 5: Solve for x
    x = 2,565,887.52/1,384.40
  6. Step 6: Final answer
    x = 1,853.43

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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.