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Finding the Fourth Proportional to 1,946.83, 2,921.52 and 714.25

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Solution

The fourth proportional to 1,946.83, 2,921.52 and 714.25 is: 1,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.83 : 2,921.52 = 714.25 : x
  2. Step 2: Convert to fraction form
    1,946.83/2,921.52 = 714.25/x
  3. Step 3: Cross multiply
    1,946.83x = 2,921.52 × 714.25
  4. Step 4: Simplify right side
    1,946.83x = 2,086,696.33
  5. Step 5: Solve for x
    x = 2,086,696.33/1,946.83
  6. Step 6: Final answer
    x = 1,071.84

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