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Finding the Fourth Proportional to 2,972.22, 4,101.76 and 1,646.05

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Solution

The fourth proportional to 2,972.22, 4,101.76 and 1,646.05 is: 2,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.22 : 4,101.76 = 1,646.05 : x
  2. Step 2: Convert to fraction form
    2,972.22/4,101.76 = 1,646.05/x
  3. Step 3: Cross multiply
    2,972.22x = 4,101.76 × 1,646.05
  4. Step 4: Simplify right side
    2,972.22x = 6,751,702.05
  5. Step 5: Solve for x
    x = 6,751,702.05/2,972.22
  6. Step 6: Final answer
    x = 2,271.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.