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Finding the Fourth Proportional to 1,509.02, 2,082.07 and 919.14

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Solution

The fourth proportional to 1,509.02, 2,082.07 and 919.14 is: 1,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.02 : 2,082.07 = 919.14 : x
  2. Step 2: Convert to fraction form
    1,509.02/2,082.07 = 919.14/x
  3. Step 3: Cross multiply
    1,509.02x = 2,082.07 × 919.14
  4. Step 4: Simplify right side
    1,509.02x = 1,913,713.82
  5. Step 5: Solve for x
    x = 1,913,713.82/1,509.02
  6. Step 6: Final answer
    x = 1,268.18

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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.