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Finding the Fourth Proportional to 1,509.76, 2,082.24 and 920.08

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Solution

The fourth proportional to 1,509.76, 2,082.24 and 920.08 is: 1,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.76 : 2,082.24 = 920.08 : x
  2. Step 2: Convert to fraction form
    1,509.76/2,082.24 = 920.08/x
  3. Step 3: Cross multiply
    1,509.76x = 2,082.24 × 920.08
  4. Step 4: Simplify right side
    1,509.76x = 1,915,827.38
  5. Step 5: Solve for x
    x = 1,915,827.38/1,509.76
  6. Step 6: Final answer
    x = 1,268.96

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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.