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Finding the Fourth Proportional to 2,259.04, 3,389.36 and 797.80

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Solution

The fourth proportional to 2,259.04, 3,389.36 and 797.80 is: 1,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.04 : 3,389.36 = 797.80 : x
  2. Step 2: Convert to fraction form
    2,259.04/3,389.36 = 797.80/x
  3. Step 3: Cross multiply
    2,259.04x = 3,389.36 × 797.80
  4. Step 4: Simplify right side
    2,259.04x = 2,704,031.41
  5. Step 5: Solve for x
    x = 2,704,031.41/2,259.04
  6. Step 6: Final answer
    x = 1,196.98

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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.