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Finding the Fourth Proportional to 2,339.76, 3,510.62 and 878.72

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Solution

The fourth proportional to 2,339.76, 3,510.62 and 878.72 is: 1,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.76 : 3,510.62 = 878.72 : x
  2. Step 2: Convert to fraction form
    2,339.76/3,510.62 = 878.72/x
  3. Step 3: Cross multiply
    2,339.76x = 3,510.62 × 878.72
  4. Step 4: Simplify right side
    2,339.76x = 3,084,852.01
  5. Step 5: Solve for x
    x = 3,084,852.01/2,339.76
  6. Step 6: Final answer
    x = 1,318.45

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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.