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Finding the Fourth Proportional to 2,509.11, 3,462.71 and 1,390.19

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Solution

The fourth proportional to 2,509.11, 3,462.71 and 1,390.19 is: 1,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.11 : 3,462.71 = 1,390.19 : x
  2. Step 2: Convert to fraction form
    2,509.11/3,462.71 = 1,390.19/x
  3. Step 3: Cross multiply
    2,509.11x = 3,462.71 × 1,390.19
  4. Step 4: Simplify right side
    2,509.11x = 4,813,800.55
  5. Step 5: Solve for x
    x = 4,813,800.55/2,509.11
  6. Step 6: Final answer
    x = 1,918.53

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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.