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Finding the Fourth Proportional to 2,176.05, 3,000.68 and 1,291.68

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Solution

The fourth proportional to 2,176.05, 3,000.68 and 1,291.68 is: 1,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.05 : 3,000.68 = 1,291.68 : x
  2. Step 2: Convert to fraction form
    2,176.05/3,000.68 = 1,291.68/x
  3. Step 3: Cross multiply
    2,176.05x = 3,000.68 × 1,291.68
  4. Step 4: Simplify right side
    2,176.05x = 3,875,918.34
  5. Step 5: Solve for x
    x = 3,875,918.34/2,176.05
  6. Step 6: Final answer
    x = 1,781.17

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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.