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Finding the Fourth Proportional to 3,007.10, 4,510.75 and 815.88

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Solution

The fourth proportional to 3,007.10, 4,510.75 and 815.88 is: 1,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.10 : 4,510.75 = 815.88 : x
  2. Step 2: Convert to fraction form
    3,007.10/4,510.75 = 815.88/x
  3. Step 3: Cross multiply
    3,007.10x = 4,510.75 × 815.88
  4. Step 4: Simplify right side
    3,007.10x = 3,680,228.67
  5. Step 5: Solve for x
    x = 3,680,228.67/3,007.10
  6. Step 6: Final answer
    x = 1,223.85

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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.