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Finding the Fourth Proportional to 1,509.14, 2,082.76 and 984.26

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Solution

The fourth proportional to 1,509.14, 2,082.76 and 984.26 is: 1,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.14 : 2,082.76 = 984.26 : x
  2. Step 2: Convert to fraction form
    1,509.14/2,082.76 = 984.26/x
  3. Step 3: Cross multiply
    1,509.14x = 2,082.76 × 984.26
  4. Step 4: Simplify right side
    1,509.14x = 2,049,964.48
  5. Step 5: Solve for x
    x = 2,049,964.48/1,509.14
  6. Step 6: Final answer
    x = 1,358.37

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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.