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Finding the Fourth Proportional to 3,461.98, 4,776.67 and 2,117.24

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Solution

The fourth proportional to 3,461.98, 4,776.67 and 2,117.24 is: 2,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.98 : 4,776.67 = 2,117.24 : x
  2. Step 2: Convert to fraction form
    3,461.98/4,776.67 = 2,117.24/x
  3. Step 3: Cross multiply
    3,461.98x = 4,776.67 × 2,117.24
  4. Step 4: Simplify right side
    3,461.98x = 10,113,356.79
  5. Step 5: Solve for x
    x = 10,113,356.79/3,461.98
  6. Step 6: Final answer
    x = 2,921.26

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