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Finding the Fourth Proportional to 2,255.77, 3,111.83 and 1,509.76

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Solution

The fourth proportional to 2,255.77, 3,111.83 and 1,509.76 is: 2,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.77 : 3,111.83 = 1,509.76 : x
  2. Step 2: Convert to fraction form
    2,255.77/3,111.83 = 1,509.76/x
  3. Step 3: Cross multiply
    2,255.77x = 3,111.83 × 1,509.76
  4. Step 4: Simplify right side
    2,255.77x = 4,698,116.46
  5. Step 5: Solve for x
    x = 4,698,116.46/2,255.77
  6. Step 6: Final answer
    x = 2,082.71

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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.