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Finding the Fourth Proportional to 1,848.03, 2,772.20 and 549.50

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Solution

The fourth proportional to 1,848.03, 2,772.20 and 549.50 is: 824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.03 : 2,772.20 = 549.50 : x
  2. Step 2: Convert to fraction form
    1,848.03/2,772.20 = 549.50/x
  3. Step 3: Cross multiply
    1,848.03x = 2,772.20 × 549.50
  4. Step 4: Simplify right side
    1,848.03x = 1,523,321.15
  5. Step 5: Solve for x
    x = 1,523,321.15/1,848.03
  6. Step 6: Final answer
    x = 824.29

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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.