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Finding the Fourth Proportional to 2,570.56, 3,852.48 and 1,029.76

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Solution

The fourth proportional to 2,570.56, 3,852.48 and 1,029.76 is: 1,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.56 : 3,852.48 = 1,029.76 : x
  2. Step 2: Convert to fraction form
    2,570.56/3,852.48 = 1,029.76/x
  3. Step 3: Cross multiply
    2,570.56x = 3,852.48 × 1,029.76
  4. Step 4: Simplify right side
    2,570.56x = 3,967,129.80
  5. Step 5: Solve for x
    x = 3,967,129.80/2,570.56
  6. Step 6: Final answer
    x = 1,543.29

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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.