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Finding the Fourth Proportional to 4,660.94, 6,991.65 and 1,699.32

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Solution

The fourth proportional to 4,660.94, 6,991.65 and 1,699.32 is: 2,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.94 : 6,991.65 = 1,699.32 : x
  2. Step 2: Convert to fraction form
    4,660.94/6,991.65 = 1,699.32/x
  3. Step 3: Cross multiply
    4,660.94x = 6,991.65 × 1,699.32
  4. Step 4: Simplify right side
    4,660.94x = 11,881,034.91
  5. Step 5: Solve for x
    x = 11,881,034.91/4,660.94
  6. Step 6: Final answer
    x = 2,549.06

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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.