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Finding the Fourth Proportional to 2,572.09, 3,858.08 and 840.71

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Solution

The fourth proportional to 2,572.09, 3,858.08 and 840.71 is: 1,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.09 : 3,858.08 = 840.71 : x
  2. Step 2: Convert to fraction form
    2,572.09/3,858.08 = 840.71/x
  3. Step 3: Cross multiply
    2,572.09x = 3,858.08 × 840.71
  4. Step 4: Simplify right side
    2,572.09x = 3,243,526.44
  5. Step 5: Solve for x
    x = 3,243,526.44/2,572.09
  6. Step 6: Final answer
    x = 1,261.05

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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.