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Finding the Fourth Proportional to 2,972.05, 4,458.01 and 1,024.21

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Solution

The fourth proportional to 2,972.05, 4,458.01 and 1,024.21 is: 1,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.05 : 4,458.01 = 1,024.21 : x
  2. Step 2: Convert to fraction form
    2,972.05/4,458.01 = 1,024.21/x
  3. Step 3: Cross multiply
    2,972.05x = 4,458.01 × 1,024.21
  4. Step 4: Simplify right side
    2,972.05x = 4,565,938.42
  5. Step 5: Solve for x
    x = 4,565,938.42/2,972.05
  6. Step 6: Final answer
    x = 1,536.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.