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Finding the Fourth Proportional to 2,971.76, 4,458.11 and 1,023.44

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Solution

The fourth proportional to 2,971.76, 4,458.11 and 1,023.44 is: 1,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.76 : 4,458.11 = 1,023.44 : x
  2. Step 2: Convert to fraction form
    2,971.76/4,458.11 = 1,023.44/x
  3. Step 3: Cross multiply
    2,971.76x = 4,458.11 × 1,023.44
  4. Step 4: Simplify right side
    2,971.76x = 4,562,580.69
  5. Step 5: Solve for x
    x = 4,562,580.69/2,971.76
  6. Step 6: Final answer
    x = 1,535.32

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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.