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Finding the Fourth Proportional to 2,497.68, 3,446.70 and 1,420.92

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Solution

The fourth proportional to 2,497.68, 3,446.70 and 1,420.92 is: 1,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.68 : 3,446.70 = 1,420.92 : x
  2. Step 2: Convert to fraction form
    2,497.68/3,446.70 = 1,420.92/x
  3. Step 3: Cross multiply
    2,497.68x = 3,446.70 × 1,420.92
  4. Step 4: Simplify right side
    2,497.68x = 4,897,484.96
  5. Step 5: Solve for x
    x = 4,897,484.96/2,497.68
  6. Step 6: Final answer
    x = 1,960.81

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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.