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Finding the Fourth Proportional to 2,407.68, 3,322.56 and 1,345.46

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Solution

The fourth proportional to 2,407.68, 3,322.56 and 1,345.46 is: 1,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.68 : 3,322.56 = 1,345.46 : x
  2. Step 2: Convert to fraction form
    2,407.68/3,322.56 = 1,345.46/x
  3. Step 3: Cross multiply
    2,407.68x = 3,322.56 × 1,345.46
  4. Step 4: Simplify right side
    2,407.68x = 4,470,371.58
  5. Step 5: Solve for x
    x = 4,470,371.58/2,407.68
  6. Step 6: Final answer
    x = 1,856.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.