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Finding the Fourth Proportional to 1,569.72, 2,354.30 and 919.80

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Solution

The fourth proportional to 1,569.72, 2,354.30 and 919.80 is: 1,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.72 : 2,354.30 = 919.80 : x
  2. Step 2: Convert to fraction form
    1,569.72/2,354.30 = 919.80/x
  3. Step 3: Cross multiply
    1,569.72x = 2,354.30 × 919.80
  4. Step 4: Simplify right side
    1,569.72x = 2,165,485.14
  5. Step 5: Solve for x
    x = 2,165,485.14/1,569.72
  6. Step 6: Final answer
    x = 1,379.54

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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.