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Finding the Fourth Proportional to 1,426.50, 1,968.44 and 954.93

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Solution

The fourth proportional to 1,426.50, 1,968.44 and 954.93 is: 1,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.50 : 1,968.44 = 954.93 : x
  2. Step 2: Convert to fraction form
    1,426.50/1,968.44 = 954.93/x
  3. Step 3: Cross multiply
    1,426.50x = 1,968.44 × 954.93
  4. Step 4: Simplify right side
    1,426.50x = 1,879,717.63
  5. Step 5: Solve for x
    x = 1,879,717.63/1,426.50
  6. Step 6: Final answer
    x = 1,317.71

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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.