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Finding the Fourth Proportional to 2,668.64, 3,982.57 and 2,377.04

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Solution

The fourth proportional to 2,668.64, 3,982.57 and 2,377.04 is: 3,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.64 : 3,982.57 = 2,377.04 : x
  2. Step 2: Convert to fraction form
    2,668.64/3,982.57 = 2,377.04/x
  3. Step 3: Cross multiply
    2,668.64x = 3,982.57 × 2,377.04
  4. Step 4: Simplify right side
    2,668.64x = 9,466,728.19
  5. Step 5: Solve for x
    x = 9,466,728.19/2,668.64
  6. Step 6: Final answer
    x = 3,547.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.