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Finding the Fourth Proportional to 1,358.80, 2,039.40 and 1,164.40

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Solution

The fourth proportional to 1,358.80, 2,039.40 and 1,164.40 is: 1,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.80 : 2,039.40 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    1,358.80/2,039.40 = 1,164.40/x
  3. Step 3: Cross multiply
    1,358.80x = 2,039.40 × 1,164.40
  4. Step 4: Simplify right side
    1,358.80x = 2,374,677.36
  5. Step 5: Solve for x
    x = 2,374,677.36/1,358.80
  6. Step 6: Final answer
    x = 1,747.63

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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.