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Finding the Fourth Proportional to 2,585.49, 3,878.19 and 637.71

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Solution

The fourth proportional to 2,585.49, 3,878.19 and 637.71 is: 956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.49 : 3,878.19 = 637.71 : x
  2. Step 2: Convert to fraction form
    2,585.49/3,878.19 = 637.71/x
  3. Step 3: Cross multiply
    2,585.49x = 3,878.19 × 637.71
  4. Step 4: Simplify right side
    2,585.49x = 2,473,160.54
  5. Step 5: Solve for x
    x = 2,473,160.54/2,585.49
  6. Step 6: Final answer
    x = 956.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.