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Finding the Fourth Proportional to 2,590.05, 3,885.33 and 1,029.70

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Solution

The fourth proportional to 2,590.05, 3,885.33 and 1,029.70 is: 1,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.05 : 3,885.33 = 1,029.70 : x
  2. Step 2: Convert to fraction form
    2,590.05/3,885.33 = 1,029.70/x
  3. Step 3: Cross multiply
    2,590.05x = 3,885.33 × 1,029.70
  4. Step 4: Simplify right side
    2,590.05x = 4,000,739.60
  5. Step 5: Solve for x
    x = 4,000,739.60/2,590.05
  6. Step 6: Final answer
    x = 1,544.66

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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.