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Finding the Fourth Proportional to 2,705.70, 3,733.74 and 1,510.62

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Solution

The fourth proportional to 2,705.70, 3,733.74 and 1,510.62 is: 2,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.70 : 3,733.74 = 1,510.62 : x
  2. Step 2: Convert to fraction form
    2,705.70/3,733.74 = 1,510.62/x
  3. Step 3: Cross multiply
    2,705.70x = 3,733.74 × 1,510.62
  4. Step 4: Simplify right side
    2,705.70x = 5,640,262.32
  5. Step 5: Solve for x
    x = 5,640,262.32/2,705.70
  6. Step 6: Final answer
    x = 2,084.59

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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.