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Finding the Fourth Proportional to 2,401.75, 3,602.46 and 1,477.45

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Solution

The fourth proportional to 2,401.75, 3,602.46 and 1,477.45 is: 2,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.75 : 3,602.46 = 1,477.45 : x
  2. Step 2: Convert to fraction form
    2,401.75/3,602.46 = 1,477.45/x
  3. Step 3: Cross multiply
    2,401.75x = 3,602.46 × 1,477.45
  4. Step 4: Simplify right side
    2,401.75x = 5,322,454.53
  5. Step 5: Solve for x
    x = 5,322,454.53/2,401.75
  6. Step 6: Final answer
    x = 2,216.07

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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.