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Finding the Fourth Proportional to 3,182.95, 4,774.32 and 1,308.78

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Solution

The fourth proportional to 3,182.95, 4,774.32 and 1,308.78 is: 1,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.95 : 4,774.32 = 1,308.78 : x
  2. Step 2: Convert to fraction form
    3,182.95/4,774.32 = 1,308.78/x
  3. Step 3: Cross multiply
    3,182.95x = 4,774.32 × 1,308.78
  4. Step 4: Simplify right side
    3,182.95x = 6,248,534.53
  5. Step 5: Solve for x
    x = 6,248,534.53/3,182.95
  6. Step 6: Final answer
    x = 1,963.13

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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.