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Finding the Fourth Proportional to 1,509.06, 2,082.51 and 880.02

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Solution

The fourth proportional to 1,509.06, 2,082.51 and 880.02 is: 1,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.06 : 2,082.51 = 880.02 : x
  2. Step 2: Convert to fraction form
    1,509.06/2,082.51 = 880.02/x
  3. Step 3: Cross multiply
    1,509.06x = 2,082.51 × 880.02
  4. Step 4: Simplify right side
    1,509.06x = 1,832,650.45
  5. Step 5: Solve for x
    x = 1,832,650.45/1,509.06
  6. Step 6: Final answer
    x = 1,214.43

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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.