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Finding the Fourth Proportional to 2,758.48, 3,807.60 and 1,876.96

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Solution

The fourth proportional to 2,758.48, 3,807.60 and 1,876.96 is: 2,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.48 : 3,807.60 = 1,876.96 : x
  2. Step 2: Convert to fraction form
    2,758.48/3,807.60 = 1,876.96/x
  3. Step 3: Cross multiply
    2,758.48x = 3,807.60 × 1,876.96
  4. Step 4: Simplify right side
    2,758.48x = 7,146,712.90
  5. Step 5: Solve for x
    x = 7,146,712.90/2,758.48
  6. Step 6: Final answer
    x = 2,590.82

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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.