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Finding the Fourth Proportional to 2,590.93, 3,575.52 and 1,412.02

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Solution

The fourth proportional to 2,590.93, 3,575.52 and 1,412.02 is: 1,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.93 : 3,575.52 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    2,590.93/3,575.52 = 1,412.02/x
  3. Step 3: Cross multiply
    2,590.93x = 3,575.52 × 1,412.02
  4. Step 4: Simplify right side
    2,590.93x = 5,048,705.75
  5. Step 5: Solve for x
    x = 5,048,705.75/2,590.93
  6. Step 6: Final answer
    x = 1,948.61

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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.