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Finding the Fourth Proportional to 1,807.92, 2,725.25 and 1,702.22

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Solution

The fourth proportional to 1,807.92, 2,725.25 and 1,702.22 is: 2,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.92 : 2,725.25 = 1,702.22 : x
  2. Step 2: Convert to fraction form
    1,807.92/2,725.25 = 1,702.22/x
  3. Step 3: Cross multiply
    1,807.92x = 2,725.25 × 1,702.22
  4. Step 4: Simplify right side
    1,807.92x = 4,638,952.92
  5. Step 5: Solve for x
    x = 4,638,952.92/1,807.92
  6. Step 6: Final answer
    x = 2,565.91

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1.5x scale

Why These Related Problems?

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