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Finding the Fourth Proportional to 1,792.98, 2,457.77 and 1,762.74

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Solution

The fourth proportional to 1,792.98, 2,457.77 and 1,762.74 is: 2,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.98 : 2,457.77 = 1,762.74 : x
  2. Step 2: Convert to fraction form
    1,792.98/2,457.77 = 1,762.74/x
  3. Step 3: Cross multiply
    1,792.98x = 2,457.77 × 1,762.74
  4. Step 4: Simplify right side
    1,792.98x = 4,332,400.68
  5. Step 5: Solve for x
    x = 4,332,400.68/1,792.98
  6. Step 6: Final answer
    x = 2,416.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.