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Finding the Fourth Proportional to 2,462.59, 3,688.01 and 1,420.41

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Solution

The fourth proportional to 2,462.59, 3,688.01 and 1,420.41 is: 2,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.59 : 3,688.01 = 1,420.41 : x
  2. Step 2: Convert to fraction form
    2,462.59/3,688.01 = 1,420.41/x
  3. Step 3: Cross multiply
    2,462.59x = 3,688.01 × 1,420.41
  4. Step 4: Simplify right side
    2,462.59x = 5,238,479.18
  5. Step 5: Solve for x
    x = 5,238,479.18/2,462.59
  6. Step 6: Final answer
    x = 2,127.23

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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.