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Finding the Fourth Proportional to 2,897.96, 3,999.14 and 1,719.08

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Solution

The fourth proportional to 2,897.96, 3,999.14 and 1,719.08 is: 2,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.96 : 3,999.14 = 1,719.08 : x
  2. Step 2: Convert to fraction form
    2,897.96/3,999.14 = 1,719.08/x
  3. Step 3: Cross multiply
    2,897.96x = 3,999.14 × 1,719.08
  4. Step 4: Simplify right side
    2,897.96x = 6,874,841.59
  5. Step 5: Solve for x
    x = 6,874,841.59/2,897.96
  6. Step 6: Final answer
    x = 2,372.30

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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.