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Finding the Fourth Proportional to 2,123.71, 3,185.85 and 663.01

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Solution

The fourth proportional to 2,123.71, 3,185.85 and 663.01 is: 994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.71 : 3,185.85 = 663.01 : x
  2. Step 2: Convert to fraction form
    2,123.71/3,185.85 = 663.01/x
  3. Step 3: Cross multiply
    2,123.71x = 3,185.85 × 663.01
  4. Step 4: Simplify right side
    2,123.71x = 2,112,250.41
  5. Step 5: Solve for x
    x = 2,112,250.41/2,123.71
  6. Step 6: Final answer
    x = 994.60

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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.