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Finding the Fourth Proportional to 2,298.42, 3,447.63 and 1,322.51

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Solution

The fourth proportional to 2,298.42, 3,447.63 and 1,322.51 is: 1,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.42 : 3,447.63 = 1,322.51 : x
  2. Step 2: Convert to fraction form
    2,298.42/3,447.63 = 1,322.51/x
  3. Step 3: Cross multiply
    2,298.42x = 3,447.63 × 1,322.51
  4. Step 4: Simplify right side
    2,298.42x = 4,559,507.91
  5. Step 5: Solve for x
    x = 4,559,507.91/2,298.42
  6. Step 6: Final answer
    x = 1,983.76

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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.