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Finding the Fourth Proportional to 1,706.18, 2,348.84 and 1,627.81

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Solution

The fourth proportional to 1,706.18, 2,348.84 and 1,627.81 is: 2,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.18 : 2,348.84 = 1,627.81 : x
  2. Step 2: Convert to fraction form
    1,706.18/2,348.84 = 1,627.81/x
  3. Step 3: Cross multiply
    1,706.18x = 2,348.84 × 1,627.81
  4. Step 4: Simplify right side
    1,706.18x = 3,823,461.17
  5. Step 5: Solve for x
    x = 3,823,461.17/1,706.18
  6. Step 6: Final answer
    x = 2,240.95

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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.