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Finding the Fourth Proportional to 1,792.02, 2,473 and 1,006.08

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Solution

The fourth proportional to 1,792.02, 2,473 and 1,006.08 is: 1,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.02 : 2,473 = 1,006.08 : x
  2. Step 2: Convert to fraction form
    1,792.02/2,473 = 1,006.08/x
  3. Step 3: Cross multiply
    1,792.02x = 2,473 × 1,006.08
  4. Step 4: Simplify right side
    1,792.02x = 2,488,035.84
  5. Step 5: Solve for x
    x = 2,488,035.84/1,792.02
  6. Step 6: Final answer
    x = 1,388.40

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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.