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Finding the Fourth Proportional to 3,199.78, 4,417.07 and 2,152.45

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Solution

The fourth proportional to 3,199.78, 4,417.07 and 2,152.45 is: 2,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.78 : 4,417.07 = 2,152.45 : x
  2. Step 2: Convert to fraction form
    3,199.78/4,417.07 = 2,152.45/x
  3. Step 3: Cross multiply
    3,199.78x = 4,417.07 × 2,152.45
  4. Step 4: Simplify right side
    3,199.78x = 9,507,500.52
  5. Step 5: Solve for x
    x = 9,507,500.52/3,199.78
  6. Step 6: Final answer
    x = 2,971.30

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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.