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Finding the Fourth Proportional to 1,792.56, 2,470.32 and 1,294.28

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Solution

The fourth proportional to 1,792.56, 2,470.32 and 1,294.28 is: 1,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.56 : 2,470.32 = 1,294.28 : x
  2. Step 2: Convert to fraction form
    1,792.56/2,470.32 = 1,294.28/x
  3. Step 3: Cross multiply
    1,792.56x = 2,470.32 × 1,294.28
  4. Step 4: Simplify right side
    1,792.56x = 3,197,285.77
  5. Step 5: Solve for x
    x = 3,197,285.77/1,792.56
  6. Step 6: Final answer
    x = 1,783.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.