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Finding the Fourth Proportional to 2,782.72, 4,168.56 and 1,392.16

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Solution

The fourth proportional to 2,782.72, 4,168.56 and 1,392.16 is: 2,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.72 : 4,168.56 = 1,392.16 : x
  2. Step 2: Convert to fraction form
    2,782.72/4,168.56 = 1,392.16/x
  3. Step 3: Cross multiply
    2,782.72x = 4,168.56 × 1,392.16
  4. Step 4: Simplify right side
    2,782.72x = 5,803,302.49
  5. Step 5: Solve for x
    x = 5,803,302.49/2,782.72
  6. Step 6: Final answer
    x = 2,085.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.