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Finding the Fourth Proportional to 2,706.14, 3,733.60 and 1,510.93

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Solution

The fourth proportional to 2,706.14, 3,733.60 and 1,510.93 is: 2,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.14 : 3,733.60 = 1,510.93 : x
  2. Step 2: Convert to fraction form
    2,706.14/3,733.60 = 1,510.93/x
  3. Step 3: Cross multiply
    2,706.14x = 3,733.60 × 1,510.93
  4. Step 4: Simplify right side
    2,706.14x = 5,641,208.25
  5. Step 5: Solve for x
    x = 5,641,208.25/2,706.14
  6. Step 6: Final answer
    x = 2,084.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.