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Finding the Fourth Proportional to 3,317.81, 4,977.02 and 977.81

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Solution

The fourth proportional to 3,317.81, 4,977.02 and 977.81 is: 1,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.81 : 4,977.02 = 977.81 : x
  2. Step 2: Convert to fraction form
    3,317.81/4,977.02 = 977.81/x
  3. Step 3: Cross multiply
    3,317.81x = 4,977.02 × 977.81
  4. Step 4: Simplify right side
    3,317.81x = 4,866,579.93
  5. Step 5: Solve for x
    x = 4,866,579.93/3,317.81
  6. Step 6: Final answer
    x = 1,466.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.