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Finding the Fourth Proportional to 1,434.68, 1,981.78 and 1,156

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Solution

The fourth proportional to 1,434.68, 1,981.78 and 1,156 is: 1,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.68 : 1,981.78 = 1,156 : x
  2. Step 2: Convert to fraction form
    1,434.68/1,981.78 = 1,156/x
  3. Step 3: Cross multiply
    1,434.68x = 1,981.78 × 1,156
  4. Step 4: Simplify right side
    1,434.68x = 2,290,937.68
  5. Step 5: Solve for x
    x = 2,290,937.68/1,434.68
  6. Step 6: Final answer
    x = 1,596.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.