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Finding the Fourth Proportional to 2,632.04, 3,948.27 and 876.98

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Solution

The fourth proportional to 2,632.04, 3,948.27 and 876.98 is: 1,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.04 : 3,948.27 = 876.98 : x
  2. Step 2: Convert to fraction form
    2,632.04/3,948.27 = 876.98/x
  3. Step 3: Cross multiply
    2,632.04x = 3,948.27 × 876.98
  4. Step 4: Simplify right side
    2,632.04x = 3,462,529.70
  5. Step 5: Solve for x
    x = 3,462,529.70/2,632.04
  6. Step 6: Final answer
    x = 1,315.53

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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.