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Finding the Fourth Proportional to 2,007.36, 2,770.16 and 1,123.16

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Solution

The fourth proportional to 2,007.36, 2,770.16 and 1,123.16 is: 1,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.36 : 2,770.16 = 1,123.16 : x
  2. Step 2: Convert to fraction form
    2,007.36/2,770.16 = 1,123.16/x
  3. Step 3: Cross multiply
    2,007.36x = 2,770.16 × 1,123.16
  4. Step 4: Simplify right side
    2,007.36x = 3,111,313.44
  5. Step 5: Solve for x
    x = 3,111,313.44/2,007.36
  6. Step 6: Final answer
    x = 1,549.95

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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.