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Finding the Fourth Proportional to 1,321.14, 1,979.55 and 934.50

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Solution

The fourth proportional to 1,321.14, 1,979.55 and 934.50 is: 1,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.14 : 1,979.55 = 934.50 : x
  2. Step 2: Convert to fraction form
    1,321.14/1,979.55 = 934.50/x
  3. Step 3: Cross multiply
    1,321.14x = 1,979.55 × 934.50
  4. Step 4: Simplify right side
    1,321.14x = 1,849,889.48
  5. Step 5: Solve for x
    x = 1,849,889.48/1,321.14
  6. Step 6: Final answer
    x = 1,400.22

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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.