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Finding the Fourth Proportional to 3,464.98, 4,780 and 2,269.43

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Solution

The fourth proportional to 3,464.98, 4,780 and 2,269.43 is: 3,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.98 : 4,780 = 2,269.43 : x
  2. Step 2: Convert to fraction form
    3,464.98/4,780 = 2,269.43/x
  3. Step 3: Cross multiply
    3,464.98x = 4,780 × 2,269.43
  4. Step 4: Simplify right side
    3,464.98x = 10,847,875.40
  5. Step 5: Solve for x
    x = 10,847,875.40/3,464.98
  6. Step 6: Final answer
    x = 3,130.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.