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Finding the Fourth Proportional to 2,254.78, 3,105.81 and 1,590.47

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Solution

The fourth proportional to 2,254.78, 3,105.81 and 1,590.47 is: 2,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.78 : 3,105.81 = 1,590.47 : x
  2. Step 2: Convert to fraction form
    2,254.78/3,105.81 = 1,590.47/x
  3. Step 3: Cross multiply
    2,254.78x = 3,105.81 × 1,590.47
  4. Step 4: Simplify right side
    2,254.78x = 4,939,682.10
  5. Step 5: Solve for x
    x = 4,939,682.10/2,254.78
  6. Step 6: Final answer
    x = 2,190.76

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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.