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Finding the Fourth Proportional to 1,786.47, 2,464.50 and 1,157.20

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Solution

The fourth proportional to 1,786.47, 2,464.50 and 1,157.20 is: 1,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.47 : 2,464.50 = 1,157.20 : x
  2. Step 2: Convert to fraction form
    1,786.47/2,464.50 = 1,157.20/x
  3. Step 3: Cross multiply
    1,786.47x = 2,464.50 × 1,157.20
  4. Step 4: Simplify right side
    1,786.47x = 2,851,918.14
  5. Step 5: Solve for x
    x = 2,851,918.14/1,786.47
  6. Step 6: Final answer
    x = 1,596.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.