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Finding the Fourth Proportional to 1,578.92, 2,173.98 and 1,342.40

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Solution

The fourth proportional to 1,578.92, 2,173.98 and 1,342.40 is: 1,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.92 : 2,173.98 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    1,578.92/2,173.98 = 1,342.40/x
  3. Step 3: Cross multiply
    1,578.92x = 2,173.98 × 1,342.40
  4. Step 4: Simplify right side
    1,578.92x = 2,918,350.75
  5. Step 5: Solve for x
    x = 2,918,350.75/1,578.92
  6. Step 6: Final answer
    x = 1,848.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.