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Finding the Fourth Proportional to 2,655.51, 3,983.36 and 707.72

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Solution

The fourth proportional to 2,655.51, 3,983.36 and 707.72 is: 1,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.51 : 3,983.36 = 707.72 : x
  2. Step 2: Convert to fraction form
    2,655.51/3,983.36 = 707.72/x
  3. Step 3: Cross multiply
    2,655.51x = 3,983.36 × 707.72
  4. Step 4: Simplify right side
    2,655.51x = 2,819,103.54
  5. Step 5: Solve for x
    x = 2,819,103.54/2,655.51
  6. Step 6: Final answer
    x = 1,061.61

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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.