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Finding the Fourth Proportional to 2,032.05, 3,048.03 and 571.14

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Solution

The fourth proportional to 2,032.05, 3,048.03 and 571.14 is: 856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.05 : 3,048.03 = 571.14 : x
  2. Step 2: Convert to fraction form
    2,032.05/3,048.03 = 571.14/x
  3. Step 3: Cross multiply
    2,032.05x = 3,048.03 × 571.14
  4. Step 4: Simplify right side
    2,032.05x = 1,740,851.85
  5. Step 5: Solve for x
    x = 1,740,851.85/2,032.05
  6. Step 6: Final answer
    x = 856.70

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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.