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Finding the Fourth Proportional to 2,322.16, 3,204.68 and 1,390.48

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Solution

The fourth proportional to 2,322.16, 3,204.68 and 1,390.48 is: 1,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.16 : 3,204.68 = 1,390.48 : x
  2. Step 2: Convert to fraction form
    2,322.16/3,204.68 = 1,390.48/x
  3. Step 3: Cross multiply
    2,322.16x = 3,204.68 × 1,390.48
  4. Step 4: Simplify right side
    2,322.16x = 4,456,043.45
  5. Step 5: Solve for x
    x = 4,456,043.45/2,322.16
  6. Step 6: Final answer
    x = 1,918.92

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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.