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Finding the Fourth Proportional to 1,862.73, 2,794.09 and 476.07

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Solution

The fourth proportional to 1,862.73, 2,794.09 and 476.07 is: 714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.73 : 2,794.09 = 476.07 : x
  2. Step 2: Convert to fraction form
    1,862.73/2,794.09 = 476.07/x
  3. Step 3: Cross multiply
    1,862.73x = 2,794.09 × 476.07
  4. Step 4: Simplify right side
    1,862.73x = 1,330,166.08
  5. Step 5: Solve for x
    x = 1,330,166.08/1,862.73
  6. Step 6: Final answer
    x = 714.10

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Why These Related Problems?

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