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Finding the Fourth Proportional to 2,259.27, 3,389.45 and 778.46

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Solution

The fourth proportional to 2,259.27, 3,389.45 and 778.46 is: 1,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.27 : 3,389.45 = 778.46 : x
  2. Step 2: Convert to fraction form
    2,259.27/3,389.45 = 778.46/x
  3. Step 3: Cross multiply
    2,259.27x = 3,389.45 × 778.46
  4. Step 4: Simplify right side
    2,259.27x = 2,638,530.41
  5. Step 5: Solve for x
    x = 2,638,530.41/2,259.27
  6. Step 6: Final answer
    x = 1,167.87

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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.