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Finding the Fourth Proportional to 2,570.78, 3,851.34 and 2,051.36

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Solution

The fourth proportional to 2,570.78, 3,851.34 and 2,051.36 is: 3,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.78 : 3,851.34 = 2,051.36 : x
  2. Step 2: Convert to fraction form
    2,570.78/3,851.34 = 2,051.36/x
  3. Step 3: Cross multiply
    2,570.78x = 3,851.34 × 2,051.36
  4. Step 4: Simplify right side
    2,570.78x = 7,900,484.82
  5. Step 5: Solve for x
    x = 7,900,484.82/2,570.78
  6. Step 6: Final answer
    x = 3,073.19

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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.