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Finding the Fourth Proportional to 2,333.51, 3,220.25 and 1,285.58

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Solution

The fourth proportional to 2,333.51, 3,220.25 and 1,285.58 is: 1,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.51 : 3,220.25 = 1,285.58 : x
  2. Step 2: Convert to fraction form
    2,333.51/3,220.25 = 1,285.58/x
  3. Step 3: Cross multiply
    2,333.51x = 3,220.25 × 1,285.58
  4. Step 4: Simplify right side
    2,333.51x = 4,139,866.47
  5. Step 5: Solve for x
    x = 4,139,866.47/2,333.51
  6. Step 6: Final answer
    x = 1,774.10

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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.