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Finding the Fourth Proportional to 1,836.86, 2,534.80 and 997.55

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Solution

The fourth proportional to 1,836.86, 2,534.80 and 997.55 is: 1,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.86 : 2,534.80 = 997.55 : x
  2. Step 2: Convert to fraction form
    1,836.86/2,534.80 = 997.55/x
  3. Step 3: Cross multiply
    1,836.86x = 2,534.80 × 997.55
  4. Step 4: Simplify right side
    1,836.86x = 2,528,572.70
  5. Step 5: Solve for x
    x = 2,528,572.70/1,836.86
  6. Step 6: Final answer
    x = 1,376.57

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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.