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Finding the Fourth Proportional to 3,001.65, 4,141.98 and 1,675.41

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Solution

The fourth proportional to 3,001.65, 4,141.98 and 1,675.41 is: 2,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.65 : 4,141.98 = 1,675.41 : x
  2. Step 2: Convert to fraction form
    3,001.65/4,141.98 = 1,675.41/x
  3. Step 3: Cross multiply
    3,001.65x = 4,141.98 × 1,675.41
  4. Step 4: Simplify right side
    3,001.65x = 6,939,514.71
  5. Step 5: Solve for x
    x = 6,939,514.71/3,001.65
  6. Step 6: Final answer
    x = 2,311.90

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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.