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Finding the Fourth Proportional to 1,968.91, 2,953.67 and 929.93

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Solution

The fourth proportional to 1,968.91, 2,953.67 and 929.93 is: 1,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.91 : 2,953.67 = 929.93 : x
  2. Step 2: Convert to fraction form
    1,968.91/2,953.67 = 929.93/x
  3. Step 3: Cross multiply
    1,968.91x = 2,953.67 × 929.93
  4. Step 4: Simplify right side
    1,968.91x = 2,746,703.54
  5. Step 5: Solve for x
    x = 2,746,703.54/1,968.91
  6. Step 6: Final answer
    x = 1,395.04

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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.