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Finding the Fourth Proportional to 2,622.47, 3,933.27 and 978.58

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Solution

The fourth proportional to 2,622.47, 3,933.27 and 978.58 is: 1,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.47 : 3,933.27 = 978.58 : x
  2. Step 2: Convert to fraction form
    2,622.47/3,933.27 = 978.58/x
  3. Step 3: Cross multiply
    2,622.47x = 3,933.27 × 978.58
  4. Step 4: Simplify right side
    2,622.47x = 3,849,009.52
  5. Step 5: Solve for x
    x = 3,849,009.52/2,622.47
  6. Step 6: Final answer
    x = 1,467.70

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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.