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Finding the Fourth Proportional to 1,246.65, 1,862.09 and 969.86

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Solution

The fourth proportional to 1,246.65, 1,862.09 and 969.86 is: 1,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.65 : 1,862.09 = 969.86 : x
  2. Step 2: Convert to fraction form
    1,246.65/1,862.09 = 969.86/x
  3. Step 3: Cross multiply
    1,246.65x = 1,862.09 × 969.86
  4. Step 4: Simplify right side
    1,246.65x = 1,805,967.43
  5. Step 5: Solve for x
    x = 1,805,967.43/1,246.65
  6. Step 6: Final answer
    x = 1,448.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.