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Finding the Fourth Proportional to 2,923.17, 4,384.71 and 948.87

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Solution

The fourth proportional to 2,923.17, 4,384.71 and 948.87 is: 1,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.17 : 4,384.71 = 948.87 : x
  2. Step 2: Convert to fraction form
    2,923.17/4,384.71 = 948.87/x
  3. Step 3: Cross multiply
    2,923.17x = 4,384.71 × 948.87
  4. Step 4: Simplify right side
    2,923.17x = 4,160,519.78
  5. Step 5: Solve for x
    x = 4,160,519.78/2,923.17
  6. Step 6: Final answer
    x = 1,423.29

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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.