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Finding the Fourth Proportional to 2,552.67, 3,828.56 and 703.34

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Solution

The fourth proportional to 2,552.67, 3,828.56 and 703.34 is: 1,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.67 : 3,828.56 = 703.34 : x
  2. Step 2: Convert to fraction form
    2,552.67/3,828.56 = 703.34/x
  3. Step 3: Cross multiply
    2,552.67x = 3,828.56 × 703.34
  4. Step 4: Simplify right side
    2,552.67x = 2,692,779.39
  5. Step 5: Solve for x
    x = 2,692,779.39/2,552.67
  6. Step 6: Final answer
    x = 1,054.89

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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.