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Finding the Fourth Proportional to 3,303.28, 4,952.36 and 1,478

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Solution

The fourth proportional to 3,303.28, 4,952.36 and 1,478 is: 2,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.28 : 4,952.36 = 1,478 : x
  2. Step 2: Convert to fraction form
    3,303.28/4,952.36 = 1,478/x
  3. Step 3: Cross multiply
    3,303.28x = 4,952.36 × 1,478
  4. Step 4: Simplify right side
    3,303.28x = 7,319,588.08
  5. Step 5: Solve for x
    x = 7,319,588.08/3,303.28
  6. Step 6: Final answer
    x = 2,215.85

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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.