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Finding the Fourth Proportional to 4,600.82, 6,901.32 and 1,314.02

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Solution

The fourth proportional to 4,600.82, 6,901.32 and 1,314.02 is: 1,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.82 : 6,901.32 = 1,314.02 : x
  2. Step 2: Convert to fraction form
    4,600.82/6,901.32 = 1,314.02/x
  3. Step 3: Cross multiply
    4,600.82x = 6,901.32 × 1,314.02
  4. Step 4: Simplify right side
    4,600.82x = 9,068,472.51
  5. Step 5: Solve for x
    x = 9,068,472.51/4,600.82
  6. Step 6: Final answer
    x = 1,971.06

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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.