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Finding the Fourth Proportional to 1,753.80, 2,630.10 and 1,364.22

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Solution

The fourth proportional to 1,753.80, 2,630.10 and 1,364.22 is: 2,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.80 : 2,630.10 = 1,364.22 : x
  2. Step 2: Convert to fraction form
    1,753.80/2,630.10 = 1,364.22/x
  3. Step 3: Cross multiply
    1,753.80x = 2,630.10 × 1,364.22
  4. Step 4: Simplify right side
    1,753.80x = 3,588,035.02
  5. Step 5: Solve for x
    x = 3,588,035.02/1,753.80
  6. Step 6: Final answer
    x = 2,045.86

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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.