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Finding the Fourth Proportional to 2,706.12, 4,053.28 and 1,316.52

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Solution

The fourth proportional to 2,706.12, 4,053.28 and 1,316.52 is: 1,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.12 : 4,053.28 = 1,316.52 : x
  2. Step 2: Convert to fraction form
    2,706.12/4,053.28 = 1,316.52/x
  3. Step 3: Cross multiply
    2,706.12x = 4,053.28 × 1,316.52
  4. Step 4: Simplify right side
    2,706.12x = 5,336,224.19
  5. Step 5: Solve for x
    x = 5,336,224.19/2,706.12
  6. Step 6: Final answer
    x = 1,971.91

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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.