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Finding the Fourth Proportional to 2,231.33, 3,345.84 and 750.02

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Solution

The fourth proportional to 2,231.33, 3,345.84 and 750.02 is: 1,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.33 : 3,345.84 = 750.02 : x
  2. Step 2: Convert to fraction form
    2,231.33/3,345.84 = 750.02/x
  3. Step 3: Cross multiply
    2,231.33x = 3,345.84 × 750.02
  4. Step 4: Simplify right side
    2,231.33x = 2,509,430.19
  5. Step 5: Solve for x
    x = 2,509,430.19/2,231.33
  6. Step 6: Final answer
    x = 1,124.64

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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.