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Finding the Fourth Proportional to 1,986.16, 2,974.92 and 958

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Solution

The fourth proportional to 1,986.16, 2,974.92 and 958 is: 1,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.16 : 2,974.92 = 958 : x
  2. Step 2: Convert to fraction form
    1,986.16/2,974.92 = 958/x
  3. Step 3: Cross multiply
    1,986.16x = 2,974.92 × 958
  4. Step 4: Simplify right side
    1,986.16x = 2,849,973.36
  5. Step 5: Solve for x
    x = 2,849,973.36/1,986.16
  6. Step 6: Final answer
    x = 1,434.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.