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Finding the Fourth Proportional to 2,670.82, 4,005.77 and 722.87

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Solution

The fourth proportional to 2,670.82, 4,005.77 and 722.87 is: 1,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.82 : 4,005.77 = 722.87 : x
  2. Step 2: Convert to fraction form
    2,670.82/4,005.77 = 722.87/x
  3. Step 3: Cross multiply
    2,670.82x = 4,005.77 × 722.87
  4. Step 4: Simplify right side
    2,670.82x = 2,895,627.32
  5. Step 5: Solve for x
    x = 2,895,627.32/2,670.82
  6. Step 6: Final answer
    x = 1,084.17

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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.