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Finding the Fourth Proportional to 1,614.15, 2,420.91 and 1,341.99

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Solution

The fourth proportional to 1,614.15, 2,420.91 and 1,341.99 is: 2,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.15 : 2,420.91 = 1,341.99 : x
  2. Step 2: Convert to fraction form
    1,614.15/2,420.91 = 1,341.99/x
  3. Step 3: Cross multiply
    1,614.15x = 2,420.91 × 1,341.99
  4. Step 4: Simplify right side
    1,614.15x = 3,248,837.01
  5. Step 5: Solve for x
    x = 3,248,837.01/1,614.15
  6. Step 6: Final answer
    x = 2,012.72

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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.