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Finding the Fourth Proportional to 2,007.34, 2,768.66 and 1,449.66

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Solution

The fourth proportional to 2,007.34, 2,768.66 and 1,449.66 is: 1,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.34 : 2,768.66 = 1,449.66 : x
  2. Step 2: Convert to fraction form
    2,007.34/2,768.66 = 1,449.66/x
  3. Step 3: Cross multiply
    2,007.34x = 2,768.66 × 1,449.66
  4. Step 4: Simplify right side
    2,007.34x = 4,013,615.66
  5. Step 5: Solve for x
    x = 4,013,615.66/2,007.34
  6. Step 6: Final answer
    x = 1,999.47

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1.5x scale

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.