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Finding the Fourth Proportional to 2,849.00, 3,931.60 and 1,590.03

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Solution

The fourth proportional to 2,849.00, 3,931.60 and 1,590.03 is: 2,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.00 : 3,931.60 = 1,590.03 : x
  2. Step 2: Convert to fraction form
    2,849.00/3,931.60 = 1,590.03/x
  3. Step 3: Cross multiply
    2,849.00x = 3,931.60 × 1,590.03
  4. Step 4: Simplify right side
    2,849.00x = 6,251,372.72
  5. Step 5: Solve for x
    x = 6,251,372.72/2,849.00
  6. Step 6: Final answer
    x = 2,194.24

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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.