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Finding the Fourth Proportional to 2,176.86, 3,005.02 and 1,292.94

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Solution

The fourth proportional to 2,176.86, 3,005.02 and 1,292.94 is: 1,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.86 : 3,005.02 = 1,292.94 : x
  2. Step 2: Convert to fraction form
    2,176.86/3,005.02 = 1,292.94/x
  3. Step 3: Cross multiply
    2,176.86x = 3,005.02 × 1,292.94
  4. Step 4: Simplify right side
    2,176.86x = 3,885,310.56
  5. Step 5: Solve for x
    x = 3,885,310.56/2,176.86
  6. Step 6: Final answer
    x = 1,784.82

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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.