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Finding the Fourth Proportional to 2,152.13, 2,969.81 and 1,207.72

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Solution

The fourth proportional to 2,152.13, 2,969.81 and 1,207.72 is: 1,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.13 : 2,969.81 = 1,207.72 : x
  2. Step 2: Convert to fraction form
    2,152.13/2,969.81 = 1,207.72/x
  3. Step 3: Cross multiply
    2,152.13x = 2,969.81 × 1,207.72
  4. Step 4: Simplify right side
    2,152.13x = 3,586,685.47
  5. Step 5: Solve for x
    x = 3,586,685.47/2,152.13
  6. Step 6: Final answer
    x = 1,666.58

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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.