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Finding the Fourth Proportional to 2,925.95, 4,387.86 and 845.24

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Solution

The fourth proportional to 2,925.95, 4,387.86 and 845.24 is: 1,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.95 : 4,387.86 = 845.24 : x
  2. Step 2: Convert to fraction form
    2,925.95/4,387.86 = 845.24/x
  3. Step 3: Cross multiply
    2,925.95x = 4,387.86 × 845.24
  4. Step 4: Simplify right side
    2,925.95x = 3,708,772.85
  5. Step 5: Solve for x
    x = 3,708,772.85/2,925.95
  6. Step 6: Final answer
    x = 1,267.55

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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.