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Finding the Fourth Proportional to 2,107.86, 3,159.67 and 1,064.70

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Solution

The fourth proportional to 2,107.86, 3,159.67 and 1,064.70 is: 1,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.86 : 3,159.67 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    2,107.86/3,159.67 = 1,064.70/x
  3. Step 3: Cross multiply
    2,107.86x = 3,159.67 × 1,064.70
  4. Step 4: Simplify right side
    2,107.86x = 3,364,100.65
  5. Step 5: Solve for x
    x = 3,364,100.65/2,107.86
  6. Step 6: Final answer
    x = 1,595.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.