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Finding the Fourth Proportional to 1,762.56, 2,640.60 and 1,568.16

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Solution

The fourth proportional to 1,762.56, 2,640.60 and 1,568.16 is: 2,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.56 : 2,640.60 = 1,568.16 : x
  2. Step 2: Convert to fraction form
    1,762.56/2,640.60 = 1,568.16/x
  3. Step 3: Cross multiply
    1,762.56x = 2,640.60 × 1,568.16
  4. Step 4: Simplify right side
    1,762.56x = 4,140,883.30
  5. Step 5: Solve for x
    x = 4,140,883.30/1,762.56
  6. Step 6: Final answer
    x = 2,349.36

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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.