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Finding the Fourth Proportional to 2,132.83, 3,199.47 and 572.89

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Solution

The fourth proportional to 2,132.83, 3,199.47 and 572.89 is: 859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.83 : 3,199.47 = 572.89 : x
  2. Step 2: Convert to fraction form
    2,132.83/3,199.47 = 572.89/x
  3. Step 3: Cross multiply
    2,132.83x = 3,199.47 × 572.89
  4. Step 4: Simplify right side
    2,132.83x = 1,832,944.37
  5. Step 5: Solve for x
    x = 1,832,944.37/2,132.83
  6. Step 6: Final answer
    x = 859.40

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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.