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Finding the Fourth Proportional to 2,570.92, 3,858.54 and 2,061.16

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Solution

The fourth proportional to 2,570.92, 3,858.54 and 2,061.16 is: 3,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.92 : 3,858.54 = 2,061.16 : x
  2. Step 2: Convert to fraction form
    2,570.92/3,858.54 = 2,061.16/x
  3. Step 3: Cross multiply
    2,570.92x = 3,858.54 × 2,061.16
  4. Step 4: Simplify right side
    2,570.92x = 7,953,068.31
  5. Step 5: Solve for x
    x = 7,953,068.31/2,570.92
  6. Step 6: Final answer
    x = 3,093.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.