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Finding the Fourth Proportional to 2,235.80, 3,352.33 and 1,065.76

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Solution

The fourth proportional to 2,235.80, 3,352.33 and 1,065.76 is: 1,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.80 : 3,352.33 = 1,065.76 : x
  2. Step 2: Convert to fraction form
    2,235.80/3,352.33 = 1,065.76/x
  3. Step 3: Cross multiply
    2,235.80x = 3,352.33 × 1,065.76
  4. Step 4: Simplify right side
    2,235.80x = 3,572,768.18
  5. Step 5: Solve for x
    x = 3,572,768.18/2,235.80
  6. Step 6: Final answer
    x = 1,597.98

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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.