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Finding the Fourth Proportional to 3,001.79, 4,141.85 and 1,822.20

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Solution

The fourth proportional to 3,001.79, 4,141.85 and 1,822.20 is: 2,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.79 : 4,141.85 = 1,822.20 : x
  2. Step 2: Convert to fraction form
    3,001.79/4,141.85 = 1,822.20/x
  3. Step 3: Cross multiply
    3,001.79x = 4,141.85 × 1,822.20
  4. Step 4: Simplify right side
    3,001.79x = 7,547,269.96
  5. Step 5: Solve for x
    x = 7,547,269.96/3,001.79
  6. Step 6: Final answer
    x = 2,514.26

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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.