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Finding the Fourth Proportional to 1,778.90, 2,455.40 and 1,033.19

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Solution

The fourth proportional to 1,778.90, 2,455.40 and 1,033.19 is: 1,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.90 : 2,455.40 = 1,033.19 : x
  2. Step 2: Convert to fraction form
    1,778.90/2,455.40 = 1,033.19/x
  3. Step 3: Cross multiply
    1,778.90x = 2,455.40 × 1,033.19
  4. Step 4: Simplify right side
    1,778.90x = 2,536,894.73
  5. Step 5: Solve for x
    x = 2,536,894.73/1,778.90
  6. Step 6: Final answer
    x = 1,426.10

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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.