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Finding the Fourth Proportional to 4,642.96, 6,964.34 and 1,133

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Solution

The fourth proportional to 4,642.96, 6,964.34 and 1,133 is: 1,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.96 : 6,964.34 = 1,133 : x
  2. Step 2: Convert to fraction form
    4,642.96/6,964.34 = 1,133/x
  3. Step 3: Cross multiply
    4,642.96x = 6,964.34 × 1,133
  4. Step 4: Simplify right side
    4,642.96x = 7,890,597.22
  5. Step 5: Solve for x
    x = 7,890,597.22/4,642.96
  6. Step 6: Final answer
    x = 1,699.48

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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.