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Finding the Fourth Proportional to 1,833.85, 2,750.78 and 535.32

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Solution

The fourth proportional to 1,833.85, 2,750.78 and 535.32 is: 802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.85 : 2,750.78 = 535.32 : x
  2. Step 2: Convert to fraction form
    1,833.85/2,750.78 = 535.32/x
  3. Step 3: Cross multiply
    1,833.85x = 2,750.78 × 535.32
  4. Step 4: Simplify right side
    1,833.85x = 1,472,544.87
  5. Step 5: Solve for x
    x = 1,472,544.87/1,833.85
  6. Step 6: Final answer
    x = 802.98

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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.