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Finding the Fourth Proportional to 2,509.57, 3,462.86 and 1,390.23

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Solution

The fourth proportional to 2,509.57, 3,462.86 and 1,390.23 is: 1,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.57 : 3,462.86 = 1,390.23 : x
  2. Step 2: Convert to fraction form
    2,509.57/3,462.86 = 1,390.23/x
  3. Step 3: Cross multiply
    2,509.57x = 3,462.86 × 1,390.23
  4. Step 4: Simplify right side
    2,509.57x = 4,814,175.33
  5. Step 5: Solve for x
    x = 4,814,175.33/2,509.57
  6. Step 6: Final answer
    x = 1,918.33

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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.