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Finding the Fourth Proportional to 2,151.69, 2,969.54 and 1,207.49

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Solution

The fourth proportional to 2,151.69, 2,969.54 and 1,207.49 is: 1,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.69 : 2,969.54 = 1,207.49 : x
  2. Step 2: Convert to fraction form
    2,151.69/2,969.54 = 1,207.49/x
  3. Step 3: Cross multiply
    2,151.69x = 2,969.54 × 1,207.49
  4. Step 4: Simplify right side
    2,151.69x = 3,585,678.03
  5. Step 5: Solve for x
    x = 3,585,678.03/2,151.69
  6. Step 6: Final answer
    x = 1,666.45

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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.