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Finding the Fourth Proportional to 2,589.64, 3,884.41 and 740.75

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Solution

The fourth proportional to 2,589.64, 3,884.41 and 740.75 is: 1,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.64 : 3,884.41 = 740.75 : x
  2. Step 2: Convert to fraction form
    2,589.64/3,884.41 = 740.75/x
  3. Step 3: Cross multiply
    2,589.64x = 3,884.41 × 740.75
  4. Step 4: Simplify right side
    2,589.64x = 2,877,358.21
  5. Step 5: Solve for x
    x = 2,877,358.21/2,589.64
  6. Step 6: Final answer
    x = 1,111.10

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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.