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Finding the Fourth Proportional to 2,702.56, 4,053.84 and 971.08

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Solution

The fourth proportional to 2,702.56, 4,053.84 and 971.08 is: 1,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.56 : 4,053.84 = 971.08 : x
  2. Step 2: Convert to fraction form
    2,702.56/4,053.84 = 971.08/x
  3. Step 3: Cross multiply
    2,702.56x = 4,053.84 × 971.08
  4. Step 4: Simplify right side
    2,702.56x = 3,936,602.95
  5. Step 5: Solve for x
    x = 3,936,602.95/2,702.56
  6. Step 6: Final answer
    x = 1,456.62

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1.5x scale

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.