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Finding the Fourth Proportional to 2,405, 3,319.71 and 1,473.50

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Solution

The fourth proportional to 2,405, 3,319.71 and 1,473.50 is: 2,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 3,319.71 = 1,473.50 : x
  2. Step 2: Convert to fraction form
    2,405/3,319.71 = 1,473.50/x
  3. Step 3: Cross multiply
    2,405x = 3,319.71 × 1,473.50
  4. Step 4: Simplify right side
    2,405x = 4,891,592.69
  5. Step 5: Solve for x
    x = 4,891,592.69/2,405
  6. Step 6: Final answer
    x = 2,033.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.