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Finding the Fourth Proportional to 1,531.49, 2,113.08 and 971.75

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Solution

The fourth proportional to 1,531.49, 2,113.08 and 971.75 is: 1,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.49 : 2,113.08 = 971.75 : x
  2. Step 2: Convert to fraction form
    1,531.49/2,113.08 = 971.75/x
  3. Step 3: Cross multiply
    1,531.49x = 2,113.08 × 971.75
  4. Step 4: Simplify right side
    1,531.49x = 2,053,380.63
  5. Step 5: Solve for x
    x = 2,053,380.63/1,531.49
  6. Step 6: Final answer
    x = 1,340.78

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1.5x scale

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.