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Finding the Fourth Proportional to 2,056.50, 2,838.02 and 1,125

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Solution

The fourth proportional to 2,056.50, 2,838.02 and 1,125 is: 1,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.50 : 2,838.02 = 1,125 : x
  2. Step 2: Convert to fraction form
    2,056.50/2,838.02 = 1,125/x
  3. Step 3: Cross multiply
    2,056.50x = 2,838.02 × 1,125
  4. Step 4: Simplify right side
    2,056.50x = 3,192,766.88
  5. Step 5: Solve for x
    x = 3,192,766.88/2,056.50
  6. Step 6: Final answer
    x = 1,552.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.