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Finding the Fourth Proportional to 1,557.38, 2,334.42 and 786.26

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Solution

The fourth proportional to 1,557.38, 2,334.42 and 786.26 is: 1,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.38 : 2,334.42 = 786.26 : x
  2. Step 2: Convert to fraction form
    1,557.38/2,334.42 = 786.26/x
  3. Step 3: Cross multiply
    1,557.38x = 2,334.42 × 786.26
  4. Step 4: Simplify right side
    1,557.38x = 1,835,461.07
  5. Step 5: Solve for x
    x = 1,835,461.07/1,557.38
  6. Step 6: Final answer
    x = 1,178.56

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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.