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Finding the Fourth Proportional to 4,894.56, 7,340.49 and 1,607.31

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Solution

The fourth proportional to 4,894.56, 7,340.49 and 1,607.31 is: 2,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.56 : 7,340.49 = 1,607.31 : x
  2. Step 2: Convert to fraction form
    4,894.56/7,340.49 = 1,607.31/x
  3. Step 3: Cross multiply
    4,894.56x = 7,340.49 × 1,607.31
  4. Step 4: Simplify right side
    4,894.56x = 11,798,442.98
  5. Step 5: Solve for x
    x = 11,798,442.98/4,894.56
  6. Step 6: Final answer
    x = 2,410.52

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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.