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Finding the Fourth Proportional to 2,259.76, 3,390.47 and 779.13

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Solution

The fourth proportional to 2,259.76, 3,390.47 and 779.13 is: 1,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.76 : 3,390.47 = 779.13 : x
  2. Step 2: Convert to fraction form
    2,259.76/3,390.47 = 779.13/x
  3. Step 3: Cross multiply
    2,259.76x = 3,390.47 × 779.13
  4. Step 4: Simplify right side
    2,259.76x = 2,641,616.89
  5. Step 5: Solve for x
    x = 2,641,616.89/2,259.76
  6. Step 6: Final answer
    x = 1,168.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.