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Finding the Fourth Proportional to 2,775.67, 4,159.62 and 1,952.30

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Solution

The fourth proportional to 2,775.67, 4,159.62 and 1,952.30 is: 2,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.67 : 4,159.62 = 1,952.30 : x
  2. Step 2: Convert to fraction form
    2,775.67/4,159.62 = 1,952.30/x
  3. Step 3: Cross multiply
    2,775.67x = 4,159.62 × 1,952.30
  4. Step 4: Simplify right side
    2,775.67x = 8,120,836.53
  5. Step 5: Solve for x
    x = 8,120,836.53/2,775.67
  6. Step 6: Final answer
    x = 2,925.72

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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.