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Finding the Fourth Proportional to 2,165.00, 3,248.00 and 778.47

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Solution

The fourth proportional to 2,165.00, 3,248.00 and 778.47 is: 1,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.00 : 3,248.00 = 778.47 : x
  2. Step 2: Convert to fraction form
    2,165.00/3,248.00 = 778.47/x
  3. Step 3: Cross multiply
    2,165.00x = 3,248.00 × 778.47
  4. Step 4: Simplify right side
    2,165.00x = 2,528,466.67
  5. Step 5: Solve for x
    x = 2,528,466.67/2,165.00
  6. Step 6: Final answer
    x = 1,167.89

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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.