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Finding the Fourth Proportional to 1,777.57, 2,453.05 and 991.62

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Solution

The fourth proportional to 1,777.57, 2,453.05 and 991.62 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.57 : 2,453.05 = 991.62 : x
  2. Step 2: Convert to fraction form
    1,777.57/2,453.05 = 991.62/x
  3. Step 3: Cross multiply
    1,777.57x = 2,453.05 × 991.62
  4. Step 4: Simplify right side
    1,777.57x = 2,432,489.10
  5. Step 5: Solve for x
    x = 2,432,489.10/1,777.57
  6. Step 6: Final answer
    x = 1,368.43

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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.