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Finding the Fourth Proportional to 2,590.55, 3,883.68 and 1,029.59

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Solution

The fourth proportional to 2,590.55, 3,883.68 and 1,029.59 is: 1,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.55 : 3,883.68 = 1,029.59 : x
  2. Step 2: Convert to fraction form
    2,590.55/3,883.68 = 1,029.59/x
  3. Step 3: Cross multiply
    2,590.55x = 3,883.68 × 1,029.59
  4. Step 4: Simplify right side
    2,590.55x = 3,998,598.09
  5. Step 5: Solve for x
    x = 3,998,598.09/2,590.55
  6. Step 6: Final answer
    x = 1,543.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.