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Finding the Fourth Proportional to 1,509.73, 2,082.46 and 1,089.42

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Solution

The fourth proportional to 1,509.73, 2,082.46 and 1,089.42 is: 1,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.73 : 2,082.46 = 1,089.42 : x
  2. Step 2: Convert to fraction form
    1,509.73/2,082.46 = 1,089.42/x
  3. Step 3: Cross multiply
    1,509.73x = 2,082.46 × 1,089.42
  4. Step 4: Simplify right side
    1,509.73x = 2,268,673.57
  5. Step 5: Solve for x
    x = 2,268,673.57/1,509.73
  6. Step 6: Final answer
    x = 1,502.70

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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.