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Finding the Fourth Proportional to 2,897.16, 3,998.01 and 1,570.83

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Solution

The fourth proportional to 2,897.16, 3,998.01 and 1,570.83 is: 2,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.16 : 3,998.01 = 1,570.83 : x
  2. Step 2: Convert to fraction form
    2,897.16/3,998.01 = 1,570.83/x
  3. Step 3: Cross multiply
    2,897.16x = 3,998.01 × 1,570.83
  4. Step 4: Simplify right side
    2,897.16x = 6,280,194.05
  5. Step 5: Solve for x
    x = 6,280,194.05/2,897.16
  6. Step 6: Final answer
    x = 2,167.71

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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.