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Finding the Fourth Proportional to 2,741.96, 4,111.11 and 1,509.95

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Solution

The fourth proportional to 2,741.96, 4,111.11 and 1,509.95 is: 2,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.96 : 4,111.11 = 1,509.95 : x
  2. Step 2: Convert to fraction form
    2,741.96/4,111.11 = 1,509.95/x
  3. Step 3: Cross multiply
    2,741.96x = 4,111.11 × 1,509.95
  4. Step 4: Simplify right side
    2,741.96x = 6,207,549.99
  5. Step 5: Solve for x
    x = 6,207,549.99/2,741.96
  6. Step 6: Final answer
    x = 2,263.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.