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Finding the Fourth Proportional to 2,407.77, 3,322.40 and 1,345.41

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Solution

The fourth proportional to 2,407.77, 3,322.40 and 1,345.41 is: 1,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.77 : 3,322.40 = 1,345.41 : x
  2. Step 2: Convert to fraction form
    2,407.77/3,322.40 = 1,345.41/x
  3. Step 3: Cross multiply
    2,407.77x = 3,322.40 × 1,345.41
  4. Step 4: Simplify right side
    2,407.77x = 4,469,966.84
  5. Step 5: Solve for x
    x = 4,469,966.84/2,407.77
  6. Step 6: Final answer
    x = 1,856.48

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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.