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Finding the Fourth Proportional to 1,393.58, 2,098.08 and 1,153.82

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Solution

The fourth proportional to 1,393.58, 2,098.08 and 1,153.82 is: 1,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.58 : 2,098.08 = 1,153.82 : x
  2. Step 2: Convert to fraction form
    1,393.58/2,098.08 = 1,153.82/x
  3. Step 3: Cross multiply
    1,393.58x = 2,098.08 × 1,153.82
  4. Step 4: Simplify right side
    1,393.58x = 2,420,806.67
  5. Step 5: Solve for x
    x = 2,420,806.67/1,393.58
  6. Step 6: Final answer
    x = 1,737.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.