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Finding the Fourth Proportional to 2,590.90, 3,575.40 and 1,412.02

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Solution

The fourth proportional to 2,590.90, 3,575.40 and 1,412.02 is: 1,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.90 : 3,575.40 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    2,590.90/3,575.40 = 1,412.02/x
  3. Step 3: Cross multiply
    2,590.90x = 3,575.40 × 1,412.02
  4. Step 4: Simplify right side
    2,590.90x = 5,048,536.31
  5. Step 5: Solve for x
    x = 5,048,536.31/2,590.90
  6. Step 6: Final answer
    x = 1,948.56

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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.