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Finding the Fourth Proportional to 2,275.63, 3,409.80 and 1,301.20

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Solution

The fourth proportional to 2,275.63, 3,409.80 and 1,301.20 is: 1,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.63 : 3,409.80 = 1,301.20 : x
  2. Step 2: Convert to fraction form
    2,275.63/3,409.80 = 1,301.20/x
  3. Step 3: Cross multiply
    2,275.63x = 3,409.80 × 1,301.20
  4. Step 4: Simplify right side
    2,275.63x = 4,436,831.76
  5. Step 5: Solve for x
    x = 4,436,831.76/2,275.63
  6. Step 6: Final answer
    x = 1,949.72

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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.