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Finding the Fourth Proportional to 1,640.13, 2,264.54 and 1,011.50

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Solution

The fourth proportional to 1,640.13, 2,264.54 and 1,011.50 is: 1,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.13 : 2,264.54 = 1,011.50 : x
  2. Step 2: Convert to fraction form
    1,640.13/2,264.54 = 1,011.50/x
  3. Step 3: Cross multiply
    1,640.13x = 2,264.54 × 1,011.50
  4. Step 4: Simplify right side
    1,640.13x = 2,290,582.21
  5. Step 5: Solve for x
    x = 2,290,582.21/1,640.13
  6. Step 6: Final answer
    x = 1,396.59

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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.