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Finding the Fourth Proportional to 1,885.40, 2,601.53 and 1,177.12

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Solution

The fourth proportional to 1,885.40, 2,601.53 and 1,177.12 is: 1,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.40 : 2,601.53 = 1,177.12 : x
  2. Step 2: Convert to fraction form
    1,885.40/2,601.53 = 1,177.12/x
  3. Step 3: Cross multiply
    1,885.40x = 2,601.53 × 1,177.12
  4. Step 4: Simplify right side
    1,885.40x = 3,062,299.99
  5. Step 5: Solve for x
    x = 3,062,299.99/1,885.40
  6. Step 6: Final answer
    x = 1,624.22

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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.