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Finding the Fourth Proportional to 1,852.40, 2,778.90 and 698.24

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Solution

The fourth proportional to 1,852.40, 2,778.90 and 698.24 is: 1,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.40 : 2,778.90 = 698.24 : x
  2. Step 2: Convert to fraction form
    1,852.40/2,778.90 = 698.24/x
  3. Step 3: Cross multiply
    1,852.40x = 2,778.90 × 698.24
  4. Step 4: Simplify right side
    1,852.40x = 1,940,339.14
  5. Step 5: Solve for x
    x = 1,940,339.14/1,852.40
  6. Step 6: Final answer
    x = 1,047.47

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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.