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Finding the Fourth Proportional to 1,548.64, 2,137.76 and 1,154.98

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Solution

The fourth proportional to 1,548.64, 2,137.76 and 1,154.98 is: 1,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.64 : 2,137.76 = 1,154.98 : x
  2. Step 2: Convert to fraction form
    1,548.64/2,137.76 = 1,154.98/x
  3. Step 3: Cross multiply
    1,548.64x = 2,137.76 × 1,154.98
  4. Step 4: Simplify right side
    1,548.64x = 2,469,070.04
  5. Step 5: Solve for x
    x = 2,469,070.04/1,548.64
  6. Step 6: Final answer
    x = 1,594.35

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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.