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Finding the Fourth Proportional to 1,440.82, 2,158.82 and 1,386.82

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Solution

The fourth proportional to 1,440.82, 2,158.82 and 1,386.82 is: 2,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.82 : 2,158.82 = 1,386.82 : x
  2. Step 2: Convert to fraction form
    1,440.82/2,158.82 = 1,386.82/x
  3. Step 3: Cross multiply
    1,440.82x = 2,158.82 × 1,386.82
  4. Step 4: Simplify right side
    1,440.82x = 2,993,894.75
  5. Step 5: Solve for x
    x = 2,993,894.75/1,440.82
  6. Step 6: Final answer
    x = 2,077.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.