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Finding the Fourth Proportional to 2,176.98, 3,005.05 and 1,293.22

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Solution

The fourth proportional to 2,176.98, 3,005.05 and 1,293.22 is: 1,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.98 : 3,005.05 = 1,293.22 : x
  2. Step 2: Convert to fraction form
    2,176.98/3,005.05 = 1,293.22/x
  3. Step 3: Cross multiply
    2,176.98x = 3,005.05 × 1,293.22
  4. Step 4: Simplify right side
    2,176.98x = 3,886,190.76
  5. Step 5: Solve for x
    x = 3,886,190.76/2,176.98
  6. Step 6: Final answer
    x = 1,785.13

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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.