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Finding the Fourth Proportional to 2,401.52, 3,602.65 and 1,014.86

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Solution

The fourth proportional to 2,401.52, 3,602.65 and 1,014.86 is: 1,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.52 : 3,602.65 = 1,014.86 : x
  2. Step 2: Convert to fraction form
    2,401.52/3,602.65 = 1,014.86/x
  3. Step 3: Cross multiply
    2,401.52x = 3,602.65 × 1,014.86
  4. Step 4: Simplify right side
    2,401.52x = 3,656,174.01
  5. Step 5: Solve for x
    x = 3,656,174.01/2,401.52
  6. Step 6: Final answer
    x = 1,522.44

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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.