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Finding the Fourth Proportional to 2,907.15, 4,359.42 and 932.42

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Solution

The fourth proportional to 2,907.15, 4,359.42 and 932.42 is: 1,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.15 : 4,359.42 = 932.42 : x
  2. Step 2: Convert to fraction form
    2,907.15/4,359.42 = 932.42/x
  3. Step 3: Cross multiply
    2,907.15x = 4,359.42 × 932.42
  4. Step 4: Simplify right side
    2,907.15x = 4,064,788.60
  5. Step 5: Solve for x
    x = 4,064,788.60/2,907.15
  6. Step 6: Final answer
    x = 1,398.20

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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.