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Finding the Fourth Proportional to 1,702.55, 2,558.93 and 1,411.97

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Solution

The fourth proportional to 1,702.55, 2,558.93 and 1,411.97 is: 2,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.55 : 2,558.93 = 1,411.97 : x
  2. Step 2: Convert to fraction form
    1,702.55/2,558.93 = 1,411.97/x
  3. Step 3: Cross multiply
    1,702.55x = 2,558.93 × 1,411.97
  4. Step 4: Simplify right side
    1,702.55x = 3,613,112.54
  5. Step 5: Solve for x
    x = 3,613,112.54/1,702.55
  6. Step 6: Final answer
    x = 2,122.17

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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.