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Finding the Fourth Proportional to 2,078.40, 3,117.51 and 518.41

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Solution

The fourth proportional to 2,078.40, 3,117.51 and 518.41 is: 777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.40 : 3,117.51 = 518.41 : x
  2. Step 2: Convert to fraction form
    2,078.40/3,117.51 = 518.41/x
  3. Step 3: Cross multiply
    2,078.40x = 3,117.51 × 518.41
  4. Step 4: Simplify right side
    2,078.40x = 1,616,148.36
  5. Step 5: Solve for x
    x = 1,616,148.36/2,078.40
  6. Step 6: Final answer
    x = 777.59

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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.