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Finding the Fourth Proportional to 2,452.71, 3,679.47 and 971.49

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Solution

The fourth proportional to 2,452.71, 3,679.47 and 971.49 is: 1,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.71 : 3,679.47 = 971.49 : x
  2. Step 2: Convert to fraction form
    2,452.71/3,679.47 = 971.49/x
  3. Step 3: Cross multiply
    2,452.71x = 3,679.47 × 971.49
  4. Step 4: Simplify right side
    2,452.71x = 3,574,568.31
  5. Step 5: Solve for x
    x = 3,574,568.31/2,452.71
  6. Step 6: Final answer
    x = 1,457.40

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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.