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Finding the Fourth Proportional to 1,284.90, 1,923.68 and 851.18

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Solution

The fourth proportional to 1,284.90, 1,923.68 and 851.18 is: 1,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.90 : 1,923.68 = 851.18 : x
  2. Step 2: Convert to fraction form
    1,284.90/1,923.68 = 851.18/x
  3. Step 3: Cross multiply
    1,284.90x = 1,923.68 × 851.18
  4. Step 4: Simplify right side
    1,284.90x = 1,637,397.94
  5. Step 5: Solve for x
    x = 1,637,397.94/1,284.90
  6. Step 6: Final answer
    x = 1,274.34

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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.