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Finding the Fourth Proportional to 1,674.83, 2,512.45 and 700.94

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Solution

The fourth proportional to 1,674.83, 2,512.45 and 700.94 is: 1,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.83 : 2,512.45 = 700.94 : x
  2. Step 2: Convert to fraction form
    1,674.83/2,512.45 = 700.94/x
  3. Step 3: Cross multiply
    1,674.83x = 2,512.45 × 700.94
  4. Step 4: Simplify right side
    1,674.83x = 1,761,083.86
  5. Step 5: Solve for x
    x = 1,761,083.86/1,674.83
  6. Step 6: Final answer
    x = 1,051.50

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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.