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Finding the Fourth Proportional to 1,321.65, 1,820.15 and 1,098.57

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Solution

The fourth proportional to 1,321.65, 1,820.15 and 1,098.57 is: 1,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.65 : 1,820.15 = 1,098.57 : x
  2. Step 2: Convert to fraction form
    1,321.65/1,820.15 = 1,098.57/x
  3. Step 3: Cross multiply
    1,321.65x = 1,820.15 × 1,098.57
  4. Step 4: Simplify right side
    1,321.65x = 1,999,569.48
  5. Step 5: Solve for x
    x = 1,999,569.48/1,321.65
  6. Step 6: Final answer
    x = 1,512.94

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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.