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Finding the Fourth Proportional to 2,564.80, 3,840.72 and 1,409.20

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Solution

The fourth proportional to 2,564.80, 3,840.72 and 1,409.20 is: 2,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.80 : 3,840.72 = 1,409.20 : x
  2. Step 2: Convert to fraction form
    2,564.80/3,840.72 = 1,409.20/x
  3. Step 3: Cross multiply
    2,564.80x = 3,840.72 × 1,409.20
  4. Step 4: Simplify right side
    2,564.80x = 5,412,342.62
  5. Step 5: Solve for x
    x = 5,412,342.62/2,564.80
  6. Step 6: Final answer
    x = 2,110.24

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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.