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Finding the Fourth Proportional to 1,509.16, 2,082.30 and 879.55

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Solution

The fourth proportional to 1,509.16, 2,082.30 and 879.55 is: 1,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.16 : 2,082.30 = 879.55 : x
  2. Step 2: Convert to fraction form
    1,509.16/2,082.30 = 879.55/x
  3. Step 3: Cross multiply
    1,509.16x = 2,082.30 × 879.55
  4. Step 4: Simplify right side
    1,509.16x = 1,831,486.97
  5. Step 5: Solve for x
    x = 1,831,486.97/1,509.16
  6. Step 6: Final answer
    x = 1,213.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.