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Finding the Fourth Proportional to 2,573.32, 3,856.88 and 1,184.76

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Solution

The fourth proportional to 2,573.32, 3,856.88 and 1,184.76 is: 1,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.32 : 3,856.88 = 1,184.76 : x
  2. Step 2: Convert to fraction form
    2,573.32/3,856.88 = 1,184.76/x
  3. Step 3: Cross multiply
    2,573.32x = 3,856.88 × 1,184.76
  4. Step 4: Simplify right side
    2,573.32x = 4,569,451.94
  5. Step 5: Solve for x
    x = 4,569,451.94/2,573.32
  6. Step 6: Final answer
    x = 1,775.70

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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.