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Finding the Fourth Proportional to 1,378.22, 2,059.02 and 1,098.77

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Solution

The fourth proportional to 1,378.22, 2,059.02 and 1,098.77 is: 1,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.22 : 2,059.02 = 1,098.77 : x
  2. Step 2: Convert to fraction form
    1,378.22/2,059.02 = 1,098.77/x
  3. Step 3: Cross multiply
    1,378.22x = 2,059.02 × 1,098.77
  4. Step 4: Simplify right side
    1,378.22x = 2,262,379.11
  5. Step 5: Solve for x
    x = 2,262,379.11/1,378.22
  6. Step 6: Final answer
    x = 1,641.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.