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Finding the Fourth Proportional to 2,590.63, 3,887.78 and 2,006.98

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Solution

The fourth proportional to 2,590.63, 3,887.78 and 2,006.98 is: 3,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.63 : 3,887.78 = 2,006.98 : x
  2. Step 2: Convert to fraction form
    2,590.63/3,887.78 = 2,006.98/x
  3. Step 3: Cross multiply
    2,590.63x = 3,887.78 × 2,006.98
  4. Step 4: Simplify right side
    2,590.63x = 7,802,696.70
  5. Step 5: Solve for x
    x = 7,802,696.70/2,590.63
  6. Step 6: Final answer
    x = 3,011.89

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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.