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Finding the Fourth Proportional to 2,590.92, 3,575.55 and 1,412.07

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Solution

The fourth proportional to 2,590.92, 3,575.55 and 1,412.07 is: 1,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.92 : 3,575.55 = 1,412.07 : x
  2. Step 2: Convert to fraction form
    2,590.92/3,575.55 = 1,412.07/x
  3. Step 3: Cross multiply
    2,590.92x = 3,575.55 × 1,412.07
  4. Step 4: Simplify right side
    2,590.92x = 5,048,926.89
  5. Step 5: Solve for x
    x = 5,048,926.89/2,590.92
  6. Step 6: Final answer
    x = 1,948.70

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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.