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Finding the Fourth Proportional to 2,333.40, 3,220.14 and 1,285.52

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Solution

The fourth proportional to 2,333.40, 3,220.14 and 1,285.52 is: 1,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.40 : 3,220.14 = 1,285.52 : x
  2. Step 2: Convert to fraction form
    2,333.40/3,220.14 = 1,285.52/x
  3. Step 3: Cross multiply
    2,333.40x = 3,220.14 × 1,285.52
  4. Step 4: Simplify right side
    2,333.40x = 4,139,554.37
  5. Step 5: Solve for x
    x = 4,139,554.37/2,333.40
  6. Step 6: Final answer
    x = 1,774.04

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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.