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Finding the Fourth Proportional to 2,477.83, 3,713.10 and 1,089.90

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Solution

The fourth proportional to 2,477.83, 3,713.10 and 1,089.90 is: 1,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.83 : 3,713.10 = 1,089.90 : x
  2. Step 2: Convert to fraction form
    2,477.83/3,713.10 = 1,089.90/x
  3. Step 3: Cross multiply
    2,477.83x = 3,713.10 × 1,089.90
  4. Step 4: Simplify right side
    2,477.83x = 4,046,907.69
  5. Step 5: Solve for x
    x = 4,046,907.69/2,477.83
  6. Step 6: Final answer
    x = 1,633.25

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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.