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Finding the Fourth Proportional to 2,259.52, 3,386.26 and 959.36

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Solution

The fourth proportional to 2,259.52, 3,386.26 and 959.36 is: 1,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.52 : 3,386.26 = 959.36 : x
  2. Step 2: Convert to fraction form
    2,259.52/3,386.26 = 959.36/x
  3. Step 3: Cross multiply
    2,259.52x = 3,386.26 × 959.36
  4. Step 4: Simplify right side
    2,259.52x = 3,248,642.39
  5. Step 5: Solve for x
    x = 3,248,642.39/2,259.52
  6. Step 6: Final answer
    x = 1,437.76

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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.