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Finding the Fourth Proportional to 2,146.01, 3,218.49 and 586.02

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Solution

The fourth proportional to 2,146.01, 3,218.49 and 586.02 is: 878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.01 : 3,218.49 = 586.02 : x
  2. Step 2: Convert to fraction form
    2,146.01/3,218.49 = 586.02/x
  3. Step 3: Cross multiply
    2,146.01x = 3,218.49 × 586.02
  4. Step 4: Simplify right side
    2,146.01x = 1,886,082.77
  5. Step 5: Solve for x
    x = 1,886,082.77/2,146.01
  6. Step 6: Final answer
    x = 878.88

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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.