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Finding the Fourth Proportional to 2,462.84, 3,688.38 and 1,420.66

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Solution

The fourth proportional to 2,462.84, 3,688.38 and 1,420.66 is: 2,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.84 : 3,688.38 = 1,420.66 : x
  2. Step 2: Convert to fraction form
    2,462.84/3,688.38 = 1,420.66/x
  3. Step 3: Cross multiply
    2,462.84x = 3,688.38 × 1,420.66
  4. Step 4: Simplify right side
    2,462.84x = 5,239,933.93
  5. Step 5: Solve for x
    x = 5,239,933.93/2,462.84
  6. Step 6: Final answer
    x = 2,127.60

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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.