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Finding the Fourth Proportional to 2,949.01, 4,070.89 and 2,098.81

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Solution

The fourth proportional to 2,949.01, 4,070.89 and 2,098.81 is: 2,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.01 : 4,070.89 = 2,098.81 : x
  2. Step 2: Convert to fraction form
    2,949.01/4,070.89 = 2,098.81/x
  3. Step 3: Cross multiply
    2,949.01x = 4,070.89 × 2,098.81
  4. Step 4: Simplify right side
    2,949.01x = 8,544,032.35
  5. Step 5: Solve for x
    x = 8,544,032.35/2,949.01
  6. Step 6: Final answer
    x = 2,897.26

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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.