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Finding the Fourth Proportional to 2,589.76, 3,885.24 and 740.92

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Solution

The fourth proportional to 2,589.76, 3,885.24 and 740.92 is: 1,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.76 : 3,885.24 = 740.92 : x
  2. Step 2: Convert to fraction form
    2,589.76/3,885.24 = 740.92/x
  3. Step 3: Cross multiply
    2,589.76x = 3,885.24 × 740.92
  4. Step 4: Simplify right side
    2,589.76x = 2,878,652.02
  5. Step 5: Solve for x
    x = 2,878,652.02/2,589.76
  6. Step 6: Final answer
    x = 1,111.55

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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.