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Finding the Fourth Proportional to 2,429.69, 3,644.90 and 948.65

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Solution

The fourth proportional to 2,429.69, 3,644.90 and 948.65 is: 1,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.69 : 3,644.90 = 948.65 : x
  2. Step 2: Convert to fraction form
    2,429.69/3,644.90 = 948.65/x
  3. Step 3: Cross multiply
    2,429.69x = 3,644.90 × 948.65
  4. Step 4: Simplify right side
    2,429.69x = 3,457,711.42
  5. Step 5: Solve for x
    x = 3,457,711.42/2,429.69
  6. Step 6: Final answer
    x = 1,423.11

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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.