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Finding the Fourth Proportional to 4,977.46, 7,464.99 and 1,466.51

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Solution

The fourth proportional to 4,977.46, 7,464.99 and 1,466.51 is: 2,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.46 : 7,464.99 = 1,466.51 : x
  2. Step 2: Convert to fraction form
    4,977.46/7,464.99 = 1,466.51/x
  3. Step 3: Cross multiply
    4,977.46x = 7,464.99 × 1,466.51
  4. Step 4: Simplify right side
    4,977.46x = 10,947,482.48
  5. Step 5: Solve for x
    x = 10,947,482.48/4,977.46
  6. Step 6: Final answer
    x = 2,199.41

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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.