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Finding the Fourth Proportional to 1,706.45, 2,569.59 and 1,447.35

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Solution

The fourth proportional to 1,706.45, 2,569.59 and 1,447.35 is: 2,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.45 : 2,569.59 = 1,447.35 : x
  2. Step 2: Convert to fraction form
    1,706.45/2,569.59 = 1,447.35/x
  3. Step 3: Cross multiply
    1,706.45x = 2,569.59 × 1,447.35
  4. Step 4: Simplify right side
    1,706.45x = 3,719,083.24
  5. Step 5: Solve for x
    x = 3,719,083.24/1,706.45
  6. Step 6: Final answer
    x = 2,179.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.