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Finding the Fourth Proportional to 1,548.93, 2,137.59 and 919.83

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Solution

The fourth proportional to 1,548.93, 2,137.59 and 919.83 is: 1,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.93 : 2,137.59 = 919.83 : x
  2. Step 2: Convert to fraction form
    1,548.93/2,137.59 = 919.83/x
  3. Step 3: Cross multiply
    1,548.93x = 2,137.59 × 919.83
  4. Step 4: Simplify right side
    1,548.93x = 1,966,219.41
  5. Step 5: Solve for x
    x = 1,966,219.41/1,548.93
  6. Step 6: Final answer
    x = 1,269.40

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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.