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Finding the Fourth Proportional to 2,032.34, 3,048.62 and 571.38

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Solution

The fourth proportional to 2,032.34, 3,048.62 and 571.38 is: 857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.34 : 3,048.62 = 571.38 : x
  2. Step 2: Convert to fraction form
    2,032.34/3,048.62 = 571.38/x
  3. Step 3: Cross multiply
    2,032.34x = 3,048.62 × 571.38
  4. Step 4: Simplify right side
    2,032.34x = 1,741,920.50
  5. Step 5: Solve for x
    x = 1,741,920.50/2,032.34
  6. Step 6: Final answer
    x = 857.10

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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.