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Finding the Fourth Proportional to 2,063.70, 2,849.00 and 1,590.56

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Solution

The fourth proportional to 2,063.70, 2,849.00 and 1,590.56 is: 2,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.70 : 2,849.00 = 1,590.56 : x
  2. Step 2: Convert to fraction form
    2,063.70/2,849.00 = 1,590.56/x
  3. Step 3: Cross multiply
    2,063.70x = 2,849.00 × 1,590.56
  4. Step 4: Simplify right side
    2,063.70x = 4,531,483.24
  5. Step 5: Solve for x
    x = 4,531,483.24/2,063.70
  6. Step 6: Final answer
    x = 2,195.81

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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.