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Finding the Fourth Proportional to 2,063.95, 2,849.34 and 1,590.81

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Solution

The fourth proportional to 2,063.95, 2,849.34 and 1,590.81 is: 2,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.95 : 2,849.34 = 1,590.81 : x
  2. Step 2: Convert to fraction form
    2,063.95/2,849.34 = 1,590.81/x
  3. Step 3: Cross multiply
    2,063.95x = 2,849.34 × 1,590.81
  4. Step 4: Simplify right side
    2,063.95x = 4,532,758.57
  5. Step 5: Solve for x
    x = 4,532,758.57/2,063.95
  6. Step 6: Final answer
    x = 2,196.16

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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.