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Finding the Fourth Proportional to 1,549.04, 2,137.92 and 919.58

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Solution

The fourth proportional to 1,549.04, 2,137.92 and 919.58 is: 1,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.04 : 2,137.92 = 919.58 : x
  2. Step 2: Convert to fraction form
    1,549.04/2,137.92 = 919.58/x
  3. Step 3: Cross multiply
    1,549.04x = 2,137.92 × 919.58
  4. Step 4: Simplify right side
    1,549.04x = 1,965,988.47
  5. Step 5: Solve for x
    x = 1,965,988.47/1,549.04
  6. Step 6: Final answer
    x = 1,269.17

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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.