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Finding the Fourth Proportional to 2,509.43, 3,462.81 and 1,390.28

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Solution

The fourth proportional to 2,509.43, 3,462.81 and 1,390.28 is: 1,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.43 : 3,462.81 = 1,390.28 : x
  2. Step 2: Convert to fraction form
    2,509.43/3,462.81 = 1,390.28/x
  3. Step 3: Cross multiply
    2,509.43x = 3,462.81 × 1,390.28
  4. Step 4: Simplify right side
    2,509.43x = 4,814,258.17
  5. Step 5: Solve for x
    x = 4,814,258.17/2,509.43
  6. Step 6: Final answer
    x = 1,918.47

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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.