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Finding the Fourth Proportional to 1,970, 2,718.87 and 1,142

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Solution

The fourth proportional to 1,970, 2,718.87 and 1,142 is: 1,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 2,718.87 = 1,142 : x
  2. Step 2: Convert to fraction form
    1,970/2,718.87 = 1,142/x
  3. Step 3: Cross multiply
    1,970x = 2,718.87 × 1,142
  4. Step 4: Simplify right side
    1,970x = 3,104,949.54
  5. Step 5: Solve for x
    x = 3,104,949.54/1,970
  6. Step 6: Final answer
    x = 1,576.12

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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.