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Finding the Fourth Proportional to 1,509.12, 2,082.96 and 880.11

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Solution

The fourth proportional to 1,509.12, 2,082.96 and 880.11 is: 1,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.12 : 2,082.96 = 880.11 : x
  2. Step 2: Convert to fraction form
    1,509.12/2,082.96 = 880.11/x
  3. Step 3: Cross multiply
    1,509.12x = 2,082.96 × 880.11
  4. Step 4: Simplify right side
    1,509.12x = 1,833,233.93
  5. Step 5: Solve for x
    x = 1,833,233.93/1,509.12
  6. Step 6: Final answer
    x = 1,214.77

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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.