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Finding the Fourth Proportional to 3,057.01, 4,217.74 and 1,877.65

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Solution

The fourth proportional to 3,057.01, 4,217.74 and 1,877.65 is: 2,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.01 : 4,217.74 = 1,877.65 : x
  2. Step 2: Convert to fraction form
    3,057.01/4,217.74 = 1,877.65/x
  3. Step 3: Cross multiply
    3,057.01x = 4,217.74 × 1,877.65
  4. Step 4: Simplify right side
    3,057.01x = 7,919,439.51
  5. Step 5: Solve for x
    x = 7,919,439.51/3,057.01
  6. Step 6: Final answer
    x = 2,590.58

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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.