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Finding the Fourth Proportional to 2,521, 3,784.80 and 2,213.20

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Solution

The fourth proportional to 2,521, 3,784.80 and 2,213.20 is: 3,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521 : 3,784.80 = 2,213.20 : x
  2. Step 2: Convert to fraction form
    2,521/3,784.80 = 2,213.20/x
  3. Step 3: Cross multiply
    2,521x = 3,784.80 × 2,213.20
  4. Step 4: Simplify right side
    2,521x = 8,376,519.36
  5. Step 5: Solve for x
    x = 8,376,519.36/2,521
  6. Step 6: Final answer
    x = 3,322.70

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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.