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Finding the Fourth Proportional to 2,114.76, 3,167.76 and 2,088.84

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Solution

The fourth proportional to 2,114.76, 3,167.76 and 2,088.84 is: 3,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.76 : 3,167.76 = 2,088.84 : x
  2. Step 2: Convert to fraction form
    2,114.76/3,167.76 = 2,088.84/x
  3. Step 3: Cross multiply
    2,114.76x = 3,167.76 × 2,088.84
  4. Step 4: Simplify right side
    2,114.76x = 6,616,943.80
  5. Step 5: Solve for x
    x = 6,616,943.80/2,114.76
  6. Step 6: Final answer
    x = 3,128.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.