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Finding the Fourth Proportional to 2,509.49, 3,462.80 and 1,390.14

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Solution

The fourth proportional to 2,509.49, 3,462.80 and 1,390.14 is: 1,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.49 : 3,462.80 = 1,390.14 : x
  2. Step 2: Convert to fraction form
    2,509.49/3,462.80 = 1,390.14/x
  3. Step 3: Cross multiply
    2,509.49x = 3,462.80 × 1,390.14
  4. Step 4: Simplify right side
    2,509.49x = 4,813,769.84
  5. Step 5: Solve for x
    x = 4,813,769.84/2,509.49
  6. Step 6: Final answer
    x = 1,918.23

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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.