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Finding the Fourth Proportional to 2,895.93, 3,996.37 and 1,569.67

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Solution

The fourth proportional to 2,895.93, 3,996.37 and 1,569.67 is: 2,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.93 : 3,996.37 = 1,569.67 : x
  2. Step 2: Convert to fraction form
    2,895.93/3,996.37 = 1,569.67/x
  3. Step 3: Cross multiply
    2,895.93x = 3,996.37 × 1,569.67
  4. Step 4: Simplify right side
    2,895.93x = 6,272,982.10
  5. Step 5: Solve for x
    x = 6,272,982.10/2,895.93
  6. Step 6: Final answer
    x = 2,166.14

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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.