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Finding the Fourth Proportional to 2,706.65, 4,060.41 and 1,146.66

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Solution

The fourth proportional to 2,706.65, 4,060.41 and 1,146.66 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.65 : 4,060.41 = 1,146.66 : x
  2. Step 2: Convert to fraction form
    2,706.65/4,060.41 = 1,146.66/x
  3. Step 3: Cross multiply
    2,706.65x = 4,060.41 × 1,146.66
  4. Step 4: Simplify right side
    2,706.65x = 4,655,904.00
  5. Step 5: Solve for x
    x = 4,655,904.00/2,706.65
  6. Step 6: Final answer
    x = 1,720.17

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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.