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Finding the Fourth Proportional to 2,849.55, 3,932.02 and 1,590.67

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Solution

The fourth proportional to 2,849.55, 3,932.02 and 1,590.67 is: 2,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.55 : 3,932.02 = 1,590.67 : x
  2. Step 2: Convert to fraction form
    2,849.55/3,932.02 = 1,590.67/x
  3. Step 3: Cross multiply
    2,849.55x = 3,932.02 × 1,590.67
  4. Step 4: Simplify right side
    2,849.55x = 6,254,553.16
  5. Step 5: Solve for x
    x = 6,254,553.16/2,849.55
  6. Step 6: Final answer
    x = 2,194.93

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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.