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Finding the Fourth Proportional to 4,606.29, 6,909.41 and 1,319.39

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Solution

The fourth proportional to 4,606.29, 6,909.41 and 1,319.39 is: 1,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.29 : 6,909.41 = 1,319.39 : x
  2. Step 2: Convert to fraction form
    4,606.29/6,909.41 = 1,319.39/x
  3. Step 3: Cross multiply
    4,606.29x = 6,909.41 × 1,319.39
  4. Step 4: Simplify right side
    4,606.29x = 9,116,227.03
  5. Step 5: Solve for x
    x = 9,116,227.03/4,606.29
  6. Step 6: Final answer
    x = 1,979.08

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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.