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Finding the Fourth Proportional to 2,335.45, 3,503.14 and 1,102.18

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Solution

The fourth proportional to 2,335.45, 3,503.14 and 1,102.18 is: 1,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.45 : 3,503.14 = 1,102.18 : x
  2. Step 2: Convert to fraction form
    2,335.45/3,503.14 = 1,102.18/x
  3. Step 3: Cross multiply
    2,335.45x = 3,503.14 × 1,102.18
  4. Step 4: Simplify right side
    2,335.45x = 3,861,090.85
  5. Step 5: Solve for x
    x = 3,861,090.85/2,335.45
  6. Step 6: Final answer
    x = 1,653.25

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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.