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Finding the Fourth Proportional to 1,426.88, 1,968 and 953.92

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Solution

The fourth proportional to 1,426.88, 1,968 and 953.92 is: 1,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.88 : 1,968 = 953.92 : x
  2. Step 2: Convert to fraction form
    1,426.88/1,968 = 953.92/x
  3. Step 3: Cross multiply
    1,426.88x = 1,968 × 953.92
  4. Step 4: Simplify right side
    1,426.88x = 1,877,314.56
  5. Step 5: Solve for x
    x = 1,877,314.56/1,426.88
  6. Step 6: Final answer
    x = 1,315.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.