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Finding the Fourth Proportional to 3,322.50, 4,587.12 and 2,145.78

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Solution

The fourth proportional to 3,322.50, 4,587.12 and 2,145.78 is: 2,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.50 : 4,587.12 = 2,145.78 : x
  2. Step 2: Convert to fraction form
    3,322.50/4,587.12 = 2,145.78/x
  3. Step 3: Cross multiply
    3,322.50x = 4,587.12 × 2,145.78
  4. Step 4: Simplify right side
    3,322.50x = 9,842,950.35
  5. Step 5: Solve for x
    x = 9,842,950.35/3,322.50
  6. Step 6: Final answer
    x = 2,962.51

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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.