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Finding the Fourth Proportional to 1,706.83, 2,557.95 and 883.38

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Solution

The fourth proportional to 1,706.83, 2,557.95 and 883.38 is: 1,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.83 : 2,557.95 = 883.38 : x
  2. Step 2: Convert to fraction form
    1,706.83/2,557.95 = 883.38/x
  3. Step 3: Cross multiply
    1,706.83x = 2,557.95 × 883.38
  4. Step 4: Simplify right side
    1,706.83x = 2,259,641.87
  5. Step 5: Solve for x
    x = 2,259,641.87/1,706.83
  6. Step 6: Final answer
    x = 1,323.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.