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Finding the Fourth Proportional to 1,800.41, 2,699.54 and 703.47

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Solution

The fourth proportional to 1,800.41, 2,699.54 and 703.47 is: 1,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.41 : 2,699.54 = 703.47 : x
  2. Step 2: Convert to fraction form
    1,800.41/2,699.54 = 703.47/x
  3. Step 3: Cross multiply
    1,800.41x = 2,699.54 × 703.47
  4. Step 4: Simplify right side
    1,800.41x = 1,899,044.52
  5. Step 5: Solve for x
    x = 1,899,044.52/1,800.41
  6. Step 6: Final answer
    x = 1,054.78

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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.