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Finding the Fourth Proportional to 3,215.42, 4,823.30 and 1,024.32

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Solution

The fourth proportional to 3,215.42, 4,823.30 and 1,024.32 is: 1,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.42 : 4,823.30 = 1,024.32 : x
  2. Step 2: Convert to fraction form
    3,215.42/4,823.30 = 1,024.32/x
  3. Step 3: Cross multiply
    3,215.42x = 4,823.30 × 1,024.32
  4. Step 4: Simplify right side
    3,215.42x = 4,940,602.66
  5. Step 5: Solve for x
    x = 4,940,602.66/3,215.42
  6. Step 6: Final answer
    x = 1,536.53

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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.