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Finding the Fourth Proportional to 1,548.77, 2,137.35 and 850.16

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Solution

The fourth proportional to 1,548.77, 2,137.35 and 850.16 is: 1,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.77 : 2,137.35 = 850.16 : x
  2. Step 2: Convert to fraction form
    1,548.77/2,137.35 = 850.16/x
  3. Step 3: Cross multiply
    1,548.77x = 2,137.35 × 850.16
  4. Step 4: Simplify right side
    1,548.77x = 1,817,089.48
  5. Step 5: Solve for x
    x = 1,817,089.48/1,548.77
  6. Step 6: Final answer
    x = 1,173.25

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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.