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Finding the Fourth Proportional to 2,411.47, 3,611.36 and 1,669.00

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Solution

The fourth proportional to 2,411.47, 3,611.36 and 1,669.00 is: 2,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.47 : 3,611.36 = 1,669.00 : x
  2. Step 2: Convert to fraction form
    2,411.47/3,611.36 = 1,669.00/x
  3. Step 3: Cross multiply
    2,411.47x = 3,611.36 × 1,669.00
  4. Step 4: Simplify right side
    2,411.47x = 6,027,333.44
  5. Step 5: Solve for x
    x = 6,027,333.44/2,411.47
  6. Step 6: Final answer
    x = 2,499.45

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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.