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Finding the Fourth Proportional to 1,702.92, 2,541.44 and 1,659.18

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Solution

The fourth proportional to 1,702.92, 2,541.44 and 1,659.18 is: 2,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.92 : 2,541.44 = 1,659.18 : x
  2. Step 2: Convert to fraction form
    1,702.92/2,541.44 = 1,659.18/x
  3. Step 3: Cross multiply
    1,702.92x = 2,541.44 × 1,659.18
  4. Step 4: Simplify right side
    1,702.92x = 4,216,720.10
  5. Step 5: Solve for x
    x = 4,216,720.10/1,702.92
  6. Step 6: Final answer
    x = 2,476.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.