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Finding the Fourth Proportional to 1,823.76, 2,733 and 783.48

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Solution

The fourth proportional to 1,823.76, 2,733 and 783.48 is: 1,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.76 : 2,733 = 783.48 : x
  2. Step 2: Convert to fraction form
    1,823.76/2,733 = 783.48/x
  3. Step 3: Cross multiply
    1,823.76x = 2,733 × 783.48
  4. Step 4: Simplify right side
    1,823.76x = 2,141,250.84
  5. Step 5: Solve for x
    x = 2,141,250.84/1,823.76
  6. Step 6: Final answer
    x = 1,174.09

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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.