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Finding the Fourth Proportional to 2,822.46, 4,233.42 and 973.71

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Solution

The fourth proportional to 2,822.46, 4,233.42 and 973.71 is: 1,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.46 : 4,233.42 = 973.71 : x
  2. Step 2: Convert to fraction form
    2,822.46/4,233.42 = 973.71/x
  3. Step 3: Cross multiply
    2,822.46x = 4,233.42 × 973.71
  4. Step 4: Simplify right side
    2,822.46x = 4,122,123.39
  5. Step 5: Solve for x
    x = 4,122,123.39/2,822.46
  6. Step 6: Final answer
    x = 1,460.47

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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.