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Finding the Fourth Proportional to 2,590.82, 3,575.22 and 1,411.90

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Solution

The fourth proportional to 2,590.82, 3,575.22 and 1,411.90 is: 1,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.82 : 3,575.22 = 1,411.90 : x
  2. Step 2: Convert to fraction form
    2,590.82/3,575.22 = 1,411.90/x
  3. Step 3: Cross multiply
    2,590.82x = 3,575.22 × 1,411.90
  4. Step 4: Simplify right side
    2,590.82x = 5,047,853.12
  5. Step 5: Solve for x
    x = 5,047,853.12/2,590.82
  6. Step 6: Final answer
    x = 1,948.36

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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.