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Finding the Fourth Proportional to 1,219.50, 1,830.87 and 1,047.24

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Solution

The fourth proportional to 1,219.50, 1,830.87 and 1,047.24 is: 1,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.50 : 1,830.87 = 1,047.24 : x
  2. Step 2: Convert to fraction form
    1,219.50/1,830.87 = 1,047.24/x
  3. Step 3: Cross multiply
    1,219.50x = 1,830.87 × 1,047.24
  4. Step 4: Simplify right side
    1,219.50x = 1,917,360.30
  5. Step 5: Solve for x
    x = 1,917,360.30/1,219.50
  6. Step 6: Final answer
    x = 1,572.25

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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.