Home / 2,306.16-3,459.10-746.13

Finding the Fourth Proportional to 2,306.16, 3,459.10 and 746.13

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Solution

The fourth proportional to 2,306.16, 3,459.10 and 746.13 is: 1,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.16 : 3,459.10 = 746.13 : x
  2. Step 2: Convert to fraction form
    2,306.16/3,459.10 = 746.13/x
  3. Step 3: Cross multiply
    2,306.16x = 3,459.10 × 746.13
  4. Step 4: Simplify right side
    2,306.16x = 2,580,938.28
  5. Step 5: Solve for x
    x = 2,580,938.28/2,306.16
  6. Step 6: Final answer
    x = 1,119.15

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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.