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Finding the Fourth Proportional to 2,402.15, 3,602.69 and 1,102.37

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Solution

The fourth proportional to 2,402.15, 3,602.69 and 1,102.37 is: 1,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.15 : 3,602.69 = 1,102.37 : x
  2. Step 2: Convert to fraction form
    2,402.15/3,602.69 = 1,102.37/x
  3. Step 3: Cross multiply
    2,402.15x = 3,602.69 × 1,102.37
  4. Step 4: Simplify right side
    2,402.15x = 3,971,491.86
  5. Step 5: Solve for x
    x = 3,971,491.86/2,402.15
  6. Step 6: Final answer
    x = 1,653.31

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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.