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Finding the Fourth Proportional to 2,303.52, 3,192.30 and 2,259.76

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Solution

The fourth proportional to 2,303.52, 3,192.30 and 2,259.76 is: 3,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.52 : 3,192.30 = 2,259.76 : x
  2. Step 2: Convert to fraction form
    2,303.52/3,192.30 = 2,259.76/x
  3. Step 3: Cross multiply
    2,303.52x = 3,192.30 × 2,259.76
  4. Step 4: Simplify right side
    2,303.52x = 7,213,831.85
  5. Step 5: Solve for x
    x = 7,213,831.85/2,303.52
  6. Step 6: Final answer
    x = 3,131.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.