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Finding the Fourth Proportional to 2,246.07, 3,369.65 and 707.07

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Solution

The fourth proportional to 2,246.07, 3,369.65 and 707.07 is: 1,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.07 : 3,369.65 = 707.07 : x
  2. Step 2: Convert to fraction form
    2,246.07/3,369.65 = 707.07/x
  3. Step 3: Cross multiply
    2,246.07x = 3,369.65 × 707.07
  4. Step 4: Simplify right side
    2,246.07x = 2,382,574.89
  5. Step 5: Solve for x
    x = 2,382,574.89/2,246.07
  6. Step 6: Final answer
    x = 1,060.77

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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.