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Finding the Fourth Proportional to 2,115.69, 2,920.07 and 1,231.63

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Solution

The fourth proportional to 2,115.69, 2,920.07 and 1,231.63 is: 1,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.69 : 2,920.07 = 1,231.63 : x
  2. Step 2: Convert to fraction form
    2,115.69/2,920.07 = 1,231.63/x
  3. Step 3: Cross multiply
    2,115.69x = 2,920.07 × 1,231.63
  4. Step 4: Simplify right side
    2,115.69x = 3,596,445.81
  5. Step 5: Solve for x
    x = 3,596,445.81/2,115.69
  6. Step 6: Final answer
    x = 1,699.89

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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.