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Finding the Fourth Proportional to 2,306.58, 3,459.88 and 746.52

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Solution

The fourth proportional to 2,306.58, 3,459.88 and 746.52 is: 1,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.58 : 3,459.88 = 746.52 : x
  2. Step 2: Convert to fraction form
    2,306.58/3,459.88 = 746.52/x
  3. Step 3: Cross multiply
    2,306.58x = 3,459.88 × 746.52
  4. Step 4: Simplify right side
    2,306.58x = 2,582,869.62
  5. Step 5: Solve for x
    x = 2,582,869.62/2,306.58
  6. Step 6: Final answer
    x = 1,119.78

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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.