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Finding the Fourth Proportional to 2,112.29, 2,913.29 and 1,970.81

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Solution

The fourth proportional to 2,112.29, 2,913.29 and 1,970.81 is: 2,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.29 : 2,913.29 = 1,970.81 : x
  2. Step 2: Convert to fraction form
    2,112.29/2,913.29 = 1,970.81/x
  3. Step 3: Cross multiply
    2,112.29x = 2,913.29 × 1,970.81
  4. Step 4: Simplify right side
    2,112.29x = 5,741,541.06
  5. Step 5: Solve for x
    x = 5,741,541.06/2,112.29
  6. Step 6: Final answer
    x = 2,718.16

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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.