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Finding the Fourth Proportional to 1,836.53, 2,534.34 and 997.22

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Solution

The fourth proportional to 1,836.53, 2,534.34 and 997.22 is: 1,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.53 : 2,534.34 = 997.22 : x
  2. Step 2: Convert to fraction form
    1,836.53/2,534.34 = 997.22/x
  3. Step 3: Cross multiply
    1,836.53x = 2,534.34 × 997.22
  4. Step 4: Simplify right side
    1,836.53x = 2,527,281.86
  5. Step 5: Solve for x
    x = 2,527,281.86/1,836.53
  6. Step 6: Final answer
    x = 1,376.12

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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.