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Finding the Fourth Proportional to 2,237.95, 3,353.11 and 1,456.77

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Solution

The fourth proportional to 2,237.95, 3,353.11 and 1,456.77 is: 2,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.95 : 3,353.11 = 1,456.77 : x
  2. Step 2: Convert to fraction form
    2,237.95/3,353.11 = 1,456.77/x
  3. Step 3: Cross multiply
    2,237.95x = 3,353.11 × 1,456.77
  4. Step 4: Simplify right side
    2,237.95x = 4,884,710.05
  5. Step 5: Solve for x
    x = 4,884,710.05/2,237.95
  6. Step 6: Final answer
    x = 2,182.67

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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.