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Finding the Fourth Proportional to 3,071.99, 4,608.29 and 991.47

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Solution

The fourth proportional to 3,071.99, 4,608.29 and 991.47 is: 1,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.99 : 4,608.29 = 991.47 : x
  2. Step 2: Convert to fraction form
    3,071.99/4,608.29 = 991.47/x
  3. Step 3: Cross multiply
    3,071.99x = 4,608.29 × 991.47
  4. Step 4: Simplify right side
    3,071.99x = 4,569,001.05
  5. Step 5: Solve for x
    x = 4,569,001.05/3,071.99
  6. Step 6: Final answer
    x = 1,487.31

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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.