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Finding the Fourth Proportional to 1,648.83, 2,277.15 and 1,120.08

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Solution

The fourth proportional to 1,648.83, 2,277.15 and 1,120.08 is: 1,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.83 : 2,277.15 = 1,120.08 : x
  2. Step 2: Convert to fraction form
    1,648.83/2,277.15 = 1,120.08/x
  3. Step 3: Cross multiply
    1,648.83x = 2,277.15 × 1,120.08
  4. Step 4: Simplify right side
    1,648.83x = 2,550,590.17
  5. Step 5: Solve for x
    x = 2,550,590.17/1,648.83
  6. Step 6: Final answer
    x = 1,546.91

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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.