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Finding the Fourth Proportional to 1,548.74, 2,137.24 and 885.98

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Solution

The fourth proportional to 1,548.74, 2,137.24 and 885.98 is: 1,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.74 : 2,137.24 = 885.98 : x
  2. Step 2: Convert to fraction form
    1,548.74/2,137.24 = 885.98/x
  3. Step 3: Cross multiply
    1,548.74x = 2,137.24 × 885.98
  4. Step 4: Simplify right side
    1,548.74x = 1,893,551.90
  5. Step 5: Solve for x
    x = 1,893,551.90/1,548.74
  6. Step 6: Final answer
    x = 1,222.64

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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.