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Finding the Fourth Proportional to 2,577.97, 3,867.52 and 846.53

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Solution

The fourth proportional to 2,577.97, 3,867.52 and 846.53 is: 1,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.97 : 3,867.52 = 846.53 : x
  2. Step 2: Convert to fraction form
    2,577.97/3,867.52 = 846.53/x
  3. Step 3: Cross multiply
    2,577.97x = 3,867.52 × 846.53
  4. Step 4: Simplify right side
    2,577.97x = 3,273,971.71
  5. Step 5: Solve for x
    x = 3,273,971.71/2,577.97
  6. Step 6: Final answer
    x = 1,269.98

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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.