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Finding the Fourth Proportional to 2,177.92, 3,005.10 and 1,293.40

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Solution

The fourth proportional to 2,177.92, 3,005.10 and 1,293.40 is: 1,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.92 : 3,005.10 = 1,293.40 : x
  2. Step 2: Convert to fraction form
    2,177.92/3,005.10 = 1,293.40/x
  3. Step 3: Cross multiply
    2,177.92x = 3,005.10 × 1,293.40
  4. Step 4: Simplify right side
    2,177.92x = 3,886,796.34
  5. Step 5: Solve for x
    x = 3,886,796.34/2,177.92
  6. Step 6: Final answer
    x = 1,784.64

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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.