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Finding the Fourth Proportional to 2,176.94, 3,006.68 and 1,434.22

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Solution

The fourth proportional to 2,176.94, 3,006.68 and 1,434.22 is: 1,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.94 : 3,006.68 = 1,434.22 : x
  2. Step 2: Convert to fraction form
    2,176.94/3,006.68 = 1,434.22/x
  3. Step 3: Cross multiply
    2,176.94x = 3,006.68 × 1,434.22
  4. Step 4: Simplify right side
    2,176.94x = 4,312,240.59
  5. Step 5: Solve for x
    x = 4,312,240.59/2,176.94
  6. Step 6: Final answer
    x = 1,980.87

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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.