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Finding the Fourth Proportional to 2,306.42, 3,459.21 and 746.36

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Solution

The fourth proportional to 2,306.42, 3,459.21 and 746.36 is: 1,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.42 : 3,459.21 = 746.36 : x
  2. Step 2: Convert to fraction form
    2,306.42/3,459.21 = 746.36/x
  3. Step 3: Cross multiply
    2,306.42x = 3,459.21 × 746.36
  4. Step 4: Simplify right side
    2,306.42x = 2,581,798.68
  5. Step 5: Solve for x
    x = 2,581,798.68/2,306.42
  6. Step 6: Final answer
    x = 1,119.40

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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.