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Finding the Fourth Proportional to 2,567.76, 3,851.24 and 718.68

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Solution

The fourth proportional to 2,567.76, 3,851.24 and 718.68 is: 1,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.76 : 3,851.24 = 718.68 : x
  2. Step 2: Convert to fraction form
    2,567.76/3,851.24 = 718.68/x
  3. Step 3: Cross multiply
    2,567.76x = 3,851.24 × 718.68
  4. Step 4: Simplify right side
    2,567.76x = 2,767,809.16
  5. Step 5: Solve for x
    x = 2,767,809.16/2,567.76
  6. Step 6: Final answer
    x = 1,077.91

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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.