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Finding the Fourth Proportional to 3,061.67, 4,592.66 and 981.53

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Solution

The fourth proportional to 3,061.67, 4,592.66 and 981.53 is: 1,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.67 : 4,592.66 = 981.53 : x
  2. Step 2: Convert to fraction form
    3,061.67/4,592.66 = 981.53/x
  3. Step 3: Cross multiply
    3,061.67x = 4,592.66 × 981.53
  4. Step 4: Simplify right side
    3,061.67x = 4,507,805.70
  5. Step 5: Solve for x
    x = 4,507,805.70/3,061.67
  6. Step 6: Final answer
    x = 1,472.33

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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.