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Finding the Fourth Proportional to 1,924.07, 2,886.10 and 463.22

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Solution

The fourth proportional to 1,924.07, 2,886.10 and 463.22 is: 694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.07 : 2,886.10 = 463.22 : x
  2. Step 2: Convert to fraction form
    1,924.07/2,886.10 = 463.22/x
  3. Step 3: Cross multiply
    1,924.07x = 2,886.10 × 463.22
  4. Step 4: Simplify right side
    1,924.07x = 1,336,895.45
  5. Step 5: Solve for x
    x = 1,336,895.45/1,924.07
  6. Step 6: Final answer
    x = 694.83

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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.