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Finding the Fourth Proportional to 3,214.88, 4,821 and 1,023.02

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Solution

The fourth proportional to 3,214.88, 4,821 and 1,023.02 is: 1,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.88 : 4,821 = 1,023.02 : x
  2. Step 2: Convert to fraction form
    3,214.88/4,821 = 1,023.02/x
  3. Step 3: Cross multiply
    3,214.88x = 4,821 × 1,023.02
  4. Step 4: Simplify right side
    3,214.88x = 4,931,979.42
  5. Step 5: Solve for x
    x = 4,931,979.42/3,214.88
  6. Step 6: Final answer
    x = 1,534.11

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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.