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Finding the Fourth Proportional to 2,590.99, 3,575.64 and 1,412.14

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Solution

The fourth proportional to 2,590.99, 3,575.64 and 1,412.14 is: 1,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.99 : 3,575.64 = 1,412.14 : x
  2. Step 2: Convert to fraction form
    2,590.99/3,575.64 = 1,412.14/x
  3. Step 3: Cross multiply
    2,590.99x = 3,575.64 × 1,412.14
  4. Step 4: Simplify right side
    2,590.99x = 5,049,304.27
  5. Step 5: Solve for x
    x = 5,049,304.27/2,590.99
  6. Step 6: Final answer
    x = 1,948.79

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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.