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Finding the Fourth Proportional to 2,095.01, 2,889.50 and 1,535.27

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Solution

The fourth proportional to 2,095.01, 2,889.50 and 1,535.27 is: 2,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.01 : 2,889.50 = 1,535.27 : x
  2. Step 2: Convert to fraction form
    2,095.01/2,889.50 = 1,535.27/x
  3. Step 3: Cross multiply
    2,095.01x = 2,889.50 × 1,535.27
  4. Step 4: Simplify right side
    2,095.01x = 4,436,140.54
  5. Step 5: Solve for x
    x = 4,436,140.54/2,095.01
  6. Step 6: Final answer
    x = 2,117.48

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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.