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Finding the Fourth Proportional to 2,625.70, 3,938.10 and 981.40

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Solution

The fourth proportional to 2,625.70, 3,938.10 and 981.40 is: 1,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.70 : 3,938.10 = 981.40 : x
  2. Step 2: Convert to fraction form
    2,625.70/3,938.10 = 981.40/x
  3. Step 3: Cross multiply
    2,625.70x = 3,938.10 × 981.40
  4. Step 4: Simplify right side
    2,625.70x = 3,864,851.34
  5. Step 5: Solve for x
    x = 3,864,851.34/2,625.70
  6. Step 6: Final answer
    x = 1,471.93

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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.