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Finding the Fourth Proportional to 3,317.98, 4,977.78 and 1,370.74

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Solution

The fourth proportional to 3,317.98, 4,977.78 and 1,370.74 is: 2,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.98 : 4,977.78 = 1,370.74 : x
  2. Step 2: Convert to fraction form
    3,317.98/4,977.78 = 1,370.74/x
  3. Step 3: Cross multiply
    3,317.98x = 4,977.78 × 1,370.74
  4. Step 4: Simplify right side
    3,317.98x = 6,823,242.16
  5. Step 5: Solve for x
    x = 6,823,242.16/3,317.98
  6. Step 6: Final answer
    x = 2,056.44

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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.