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Finding the Fourth Proportional to 2,129.00, 3,193.49 and 590.00

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Solution

The fourth proportional to 2,129.00, 3,193.49 and 590.00 is: 884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.00 : 3,193.49 = 590.00 : x
  2. Step 2: Convert to fraction form
    2,129.00/3,193.49 = 590.00/x
  3. Step 3: Cross multiply
    2,129.00x = 3,193.49 × 590.00
  4. Step 4: Simplify right side
    2,129.00x = 1,884,143.13
  5. Step 5: Solve for x
    x = 1,884,143.13/2,129.00
  6. Step 6: Final answer
    x = 884.99

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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.