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Finding the Fourth Proportional to 2,932.42, 4,394.42 and 1,762.90

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Solution

The fourth proportional to 2,932.42, 4,394.42 and 1,762.90 is: 2,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.42 : 4,394.42 = 1,762.90 : x
  2. Step 2: Convert to fraction form
    2,932.42/4,394.42 = 1,762.90/x
  3. Step 3: Cross multiply
    2,932.42x = 4,394.42 × 1,762.90
  4. Step 4: Simplify right side
    2,932.42x = 7,746,923.02
  5. Step 5: Solve for x
    x = 7,746,923.02/2,932.42
  6. Step 6: Final answer
    x = 2,641.82

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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.