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Finding the Fourth Proportional to 2,082.52, 2,875.03 and 1,420.34

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Solution

The fourth proportional to 2,082.52, 2,875.03 and 1,420.34 is: 1,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.52 : 2,875.03 = 1,420.34 : x
  2. Step 2: Convert to fraction form
    2,082.52/2,875.03 = 1,420.34/x
  3. Step 3: Cross multiply
    2,082.52x = 2,875.03 × 1,420.34
  4. Step 4: Simplify right side
    2,082.52x = 4,083,520.11
  5. Step 5: Solve for x
    x = 4,083,520.11/2,082.52
  6. Step 6: Final answer
    x = 1,960.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.