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Finding the Fourth Proportional to 1,379.85, 2,070.69 and 918.15

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Solution

The fourth proportional to 1,379.85, 2,070.69 and 918.15 is: 1,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.85 : 2,070.69 = 918.15 : x
  2. Step 2: Convert to fraction form
    1,379.85/2,070.69 = 918.15/x
  3. Step 3: Cross multiply
    1,379.85x = 2,070.69 × 918.15
  4. Step 4: Simplify right side
    1,379.85x = 1,901,204.02
  5. Step 5: Solve for x
    x = 1,901,204.02/1,379.85
  6. Step 6: Final answer
    x = 1,377.83

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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.