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Finding the Fourth Proportional to 2,006.54, 2,770.17 and 1,345.58

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Solution

The fourth proportional to 2,006.54, 2,770.17 and 1,345.58 is: 1,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.54 : 2,770.17 = 1,345.58 : x
  2. Step 2: Convert to fraction form
    2,006.54/2,770.17 = 1,345.58/x
  3. Step 3: Cross multiply
    2,006.54x = 2,770.17 × 1,345.58
  4. Step 4: Simplify right side
    2,006.54x = 3,727,485.35
  5. Step 5: Solve for x
    x = 3,727,485.35/2,006.54
  6. Step 6: Final answer
    x = 1,857.67

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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.