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Finding the Fourth Proportional to 1,798.50, 2,698.56 and 1,029

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Solution

The fourth proportional to 1,798.50, 2,698.56 and 1,029 is: 1,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.50 : 2,698.56 = 1,029 : x
  2. Step 2: Convert to fraction form
    1,798.50/2,698.56 = 1,029/x
  3. Step 3: Cross multiply
    1,798.50x = 2,698.56 × 1,029
  4. Step 4: Simplify right side
    1,798.50x = 2,776,818.24
  5. Step 5: Solve for x
    x = 2,776,818.24/1,798.50
  6. Step 6: Final answer
    x = 1,543.96

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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.