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Finding the Fourth Proportional to 1,852.97, 2,782.23 and 1,164

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Solution

The fourth proportional to 1,852.97, 2,782.23 and 1,164 is: 1,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.97 : 2,782.23 = 1,164 : x
  2. Step 2: Convert to fraction form
    1,852.97/2,782.23 = 1,164/x
  3. Step 3: Cross multiply
    1,852.97x = 2,782.23 × 1,164
  4. Step 4: Simplify right side
    1,852.97x = 3,238,509.90
  5. Step 5: Solve for x
    x = 3,238,509.90/1,852.97
  6. Step 6: Final answer
    x = 1,747.74

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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.