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Finding the Fourth Proportional to 1,477.42, 2,212.17 and 1,157.60

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Solution

The fourth proportional to 1,477.42, 2,212.17 and 1,157.60 is: 1,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.42 : 2,212.17 = 1,157.60 : x
  2. Step 2: Convert to fraction form
    1,477.42/2,212.17 = 1,157.60/x
  3. Step 3: Cross multiply
    1,477.42x = 2,212.17 × 1,157.60
  4. Step 4: Simplify right side
    1,477.42x = 2,560,807.99
  5. Step 5: Solve for x
    x = 2,560,807.99/1,477.42
  6. Step 6: Final answer
    x = 1,733.30

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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.