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Finding the Fourth Proportional to 2,076.69, 3,114.66 and 690.84

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Solution

The fourth proportional to 2,076.69, 3,114.66 and 690.84 is: 1,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.69 : 3,114.66 = 690.84 : x
  2. Step 2: Convert to fraction form
    2,076.69/3,114.66 = 690.84/x
  3. Step 3: Cross multiply
    2,076.69x = 3,114.66 × 690.84
  4. Step 4: Simplify right side
    2,076.69x = 2,151,731.71
  5. Step 5: Solve for x
    x = 2,151,731.71/2,076.69
  6. Step 6: Final answer
    x = 1,036.14

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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.