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Finding the Fourth Proportional to 2,897.13, 3,998.01 and 1,570.80

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Solution

The fourth proportional to 2,897.13, 3,998.01 and 1,570.80 is: 2,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.13 : 3,998.01 = 1,570.80 : x
  2. Step 2: Convert to fraction form
    2,897.13/3,998.01 = 1,570.80/x
  3. Step 3: Cross multiply
    2,897.13x = 3,998.01 × 1,570.80
  4. Step 4: Simplify right side
    2,897.13x = 6,280,074.11
  5. Step 5: Solve for x
    x = 6,280,074.11/2,897.13
  6. Step 6: Final answer
    x = 2,167.69

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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.