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Finding the Fourth Proportional to 2,267.15, 3,400.76 and 707.19

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Solution

The fourth proportional to 2,267.15, 3,400.76 and 707.19 is: 1,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.15 : 3,400.76 = 707.19 : x
  2. Step 2: Convert to fraction form
    2,267.15/3,400.76 = 707.19/x
  3. Step 3: Cross multiply
    2,267.15x = 3,400.76 × 707.19
  4. Step 4: Simplify right side
    2,267.15x = 2,404,979.93
  5. Step 5: Solve for x
    x = 2,404,979.93/2,267.15
  6. Step 6: Final answer
    x = 1,060.80

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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.