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Finding the Fourth Proportional to 2,062.85, 2,846.28 and 1,306.85

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Solution

The fourth proportional to 2,062.85, 2,846.28 and 1,306.85 is: 1,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.85 : 2,846.28 = 1,306.85 : x
  2. Step 2: Convert to fraction form
    2,062.85/2,846.28 = 1,306.85/x
  3. Step 3: Cross multiply
    2,062.85x = 2,846.28 × 1,306.85
  4. Step 4: Simplify right side
    2,062.85x = 3,719,646.79
  5. Step 5: Solve for x
    x = 3,719,646.79/2,062.85
  6. Step 6: Final answer
    x = 1,803.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.