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Finding the Fourth Proportional to 1,792.66, 2,473.87 and 1,006.71

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Solution

The fourth proportional to 1,792.66, 2,473.87 and 1,006.71 is: 1,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.66 : 2,473.87 = 1,006.71 : x
  2. Step 2: Convert to fraction form
    1,792.66/2,473.87 = 1,006.71/x
  3. Step 3: Cross multiply
    1,792.66x = 2,473.87 × 1,006.71
  4. Step 4: Simplify right side
    1,792.66x = 2,490,457.30
  5. Step 5: Solve for x
    x = 2,490,457.30/1,792.66
  6. Step 6: Final answer
    x = 1,389.26

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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.