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Finding the Fourth Proportional to 1,764.51, 2,643.92 and 1,034.70

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Solution

The fourth proportional to 1,764.51, 2,643.92 and 1,034.70 is: 1,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.51 : 2,643.92 = 1,034.70 : x
  2. Step 2: Convert to fraction form
    1,764.51/2,643.92 = 1,034.70/x
  3. Step 3: Cross multiply
    1,764.51x = 2,643.92 × 1,034.70
  4. Step 4: Simplify right side
    1,764.51x = 2,735,664.02
  5. Step 5: Solve for x
    x = 2,735,664.02/1,764.51
  6. Step 6: Final answer
    x = 1,550.38

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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.