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Finding the Fourth Proportional to 2,214.98, 3,322.35 and 571.61

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Solution

The fourth proportional to 2,214.98, 3,322.35 and 571.61 is: 857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.98 : 3,322.35 = 571.61 : x
  2. Step 2: Convert to fraction form
    2,214.98/3,322.35 = 571.61/x
  3. Step 3: Cross multiply
    2,214.98x = 3,322.35 × 571.61
  4. Step 4: Simplify right side
    2,214.98x = 1,899,088.48
  5. Step 5: Solve for x
    x = 1,899,088.48/2,214.98
  6. Step 6: Final answer
    x = 857.38

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