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Finding the Fourth Proportional to 1,623.42, 2,434.26 and 842.63

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Solution

The fourth proportional to 1,623.42, 2,434.26 and 842.63 is: 1,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.42 : 2,434.26 = 842.63 : x
  2. Step 2: Convert to fraction form
    1,623.42/2,434.26 = 842.63/x
  3. Step 3: Cross multiply
    1,623.42x = 2,434.26 × 842.63
  4. Step 4: Simplify right side
    1,623.42x = 2,051,184.48
  5. Step 5: Solve for x
    x = 2,051,184.48/1,623.42
  6. Step 6: Final answer
    x = 1,263.50

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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.