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Finding the Fourth Proportional to 2,349.12, 3,241.92 and 1,417.92

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Solution

The fourth proportional to 2,349.12, 3,241.92 and 1,417.92 is: 1,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.12 : 3,241.92 = 1,417.92 : x
  2. Step 2: Convert to fraction form
    2,349.12/3,241.92 = 1,417.92/x
  3. Step 3: Cross multiply
    2,349.12x = 3,241.92 × 1,417.92
  4. Step 4: Simplify right side
    2,349.12x = 4,596,783.21
  5. Step 5: Solve for x
    x = 4,596,783.21/2,349.12
  6. Step 6: Final answer
    x = 1,956.81

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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.