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Finding the Fourth Proportional to 2,153.52, 2,970.68 and 1,778.31

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Solution

The fourth proportional to 2,153.52, 2,970.68 and 1,778.31 is: 2,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.52 : 2,970.68 = 1,778.31 : x
  2. Step 2: Convert to fraction form
    2,153.52/2,970.68 = 1,778.31/x
  3. Step 3: Cross multiply
    2,153.52x = 2,970.68 × 1,778.31
  4. Step 4: Simplify right side
    2,153.52x = 5,282,781.06
  5. Step 5: Solve for x
    x = 5,282,781.06/2,153.52
  6. Step 6: Final answer
    x = 2,453.09

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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.