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Finding the Fourth Proportional to 2,590.64, 3,888.44 and 2,017.20

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Solution

The fourth proportional to 2,590.64, 3,888.44 and 2,017.20 is: 3,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.64 : 3,888.44 = 2,017.20 : x
  2. Step 2: Convert to fraction form
    2,590.64/3,888.44 = 2,017.20/x
  3. Step 3: Cross multiply
    2,590.64x = 3,888.44 × 2,017.20
  4. Step 4: Simplify right side
    2,590.64x = 7,843,761.17
  5. Step 5: Solve for x
    x = 7,843,761.17/2,590.64
  6. Step 6: Final answer
    x = 3,027.73

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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.