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Finding the Fourth Proportional to 1,957.59, 2,697.98 and 1,706.09

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Solution

The fourth proportional to 1,957.59, 2,697.98 and 1,706.09 is: 2,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.59 : 2,697.98 = 1,706.09 : x
  2. Step 2: Convert to fraction form
    1,957.59/2,697.98 = 1,706.09/x
  3. Step 3: Cross multiply
    1,957.59x = 2,697.98 × 1,706.09
  4. Step 4: Simplify right side
    1,957.59x = 4,602,974.68
  5. Step 5: Solve for x
    x = 4,602,974.68/1,957.59
  6. Step 6: Final answer
    x = 2,351.35

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Why These Related Problems?

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