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Finding the Fourth Proportional to 2,477.09, 3,713.20 and 1,599.46

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Solution

The fourth proportional to 2,477.09, 3,713.20 and 1,599.46 is: 2,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.09 : 3,713.20 = 1,599.46 : x
  2. Step 2: Convert to fraction form
    2,477.09/3,713.20 = 1,599.46/x
  3. Step 3: Cross multiply
    2,477.09x = 3,713.20 × 1,599.46
  4. Step 4: Simplify right side
    2,477.09x = 5,939,114.87
  5. Step 5: Solve for x
    x = 5,939,114.87/2,477.09
  6. Step 6: Final answer
    x = 2,397.62

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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.