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Finding the Fourth Proportional to 1,610.58, 2,411.67 and 878.65

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Solution

The fourth proportional to 1,610.58, 2,411.67 and 878.65 is: 1,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.58 : 2,411.67 = 878.65 : x
  2. Step 2: Convert to fraction form
    1,610.58/2,411.67 = 878.65/x
  3. Step 3: Cross multiply
    1,610.58x = 2,411.67 × 878.65
  4. Step 4: Simplify right side
    1,610.58x = 2,119,011.11
  5. Step 5: Solve for x
    x = 2,119,011.11/1,610.58
  6. Step 6: Final answer
    x = 1,315.68

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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.