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Finding the Fourth Proportional to 3,462.88, 4,776.96 and 2,417.44

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Solution

The fourth proportional to 3,462.88, 4,776.96 and 2,417.44 is: 3,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.88 : 4,776.96 = 2,417.44 : x
  2. Step 2: Convert to fraction form
    3,462.88/4,776.96 = 2,417.44/x
  3. Step 3: Cross multiply
    3,462.88x = 4,776.96 × 2,417.44
  4. Step 4: Simplify right side
    3,462.88x = 11,548,014.18
  5. Step 5: Solve for x
    x = 11,548,014.18/3,462.88
  6. Step 6: Final answer
    x = 3,334.80

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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.