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Finding the Fourth Proportional to 2,949.49, 4,423.52 and 868.93

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Solution

The fourth proportional to 2,949.49, 4,423.52 and 868.93 is: 1,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.49 : 4,423.52 = 868.93 : x
  2. Step 2: Convert to fraction form
    2,949.49/4,423.52 = 868.93/x
  3. Step 3: Cross multiply
    2,949.49x = 4,423.52 × 868.93
  4. Step 4: Simplify right side
    2,949.49x = 3,843,718.17
  5. Step 5: Solve for x
    x = 3,843,718.17/2,949.49
  6. Step 6: Final answer
    x = 1,303.18

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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.