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Finding the Fourth Proportional to 4,662.15, 6,993.70 and 1,498.78

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Solution

The fourth proportional to 4,662.15, 6,993.70 and 1,498.78 is: 2,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.15 : 6,993.70 = 1,498.78 : x
  2. Step 2: Convert to fraction form
    4,662.15/6,993.70 = 1,498.78/x
  3. Step 3: Cross multiply
    4,662.15x = 6,993.70 × 1,498.78
  4. Step 4: Simplify right side
    4,662.15x = 10,482,017.69
  5. Step 5: Solve for x
    x = 10,482,017.69/4,662.15
  6. Step 6: Final answer
    x = 2,248.32

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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.