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Finding the Fourth Proportional to 1,321.96, 1,823.78 and 1,156.18

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Solution

The fourth proportional to 1,321.96, 1,823.78 and 1,156.18 is: 1,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.96 : 1,823.78 = 1,156.18 : x
  2. Step 2: Convert to fraction form
    1,321.96/1,823.78 = 1,156.18/x
  3. Step 3: Cross multiply
    1,321.96x = 1,823.78 × 1,156.18
  4. Step 4: Simplify right side
    1,321.96x = 2,108,617.96
  5. Step 5: Solve for x
    x = 2,108,617.96/1,321.96
  6. Step 6: Final answer
    x = 1,595.07

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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.