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Finding the Fourth Proportional to 4,902.60, 7,354.14 and 1,615.98

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Solution

The fourth proportional to 4,902.60, 7,354.14 and 1,615.98 is: 2,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.60 : 7,354.14 = 1,615.98 : x
  2. Step 2: Convert to fraction form
    4,902.60/7,354.14 = 1,615.98/x
  3. Step 3: Cross multiply
    4,902.60x = 7,354.14 × 1,615.98
  4. Step 4: Simplify right side
    4,902.60x = 11,884,143.16
  5. Step 5: Solve for x
    x = 11,884,143.16/4,902.60
  6. Step 6: Final answer
    x = 2,424.05

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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.