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Finding the Fourth Proportional to 3,114.78, 4,298.38 and 1,788.45

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Solution

The fourth proportional to 3,114.78, 4,298.38 and 1,788.45 is: 2,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.78 : 4,298.38 = 1,788.45 : x
  2. Step 2: Convert to fraction form
    3,114.78/4,298.38 = 1,788.45/x
  3. Step 3: Cross multiply
    3,114.78x = 4,298.38 × 1,788.45
  4. Step 4: Simplify right side
    3,114.78x = 7,687,437.71
  5. Step 5: Solve for x
    x = 7,687,437.71/3,114.78
  6. Step 6: Final answer
    x = 2,468.05

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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.