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Finding the Fourth Proportional to 3,165.67, 4,368.60 and 1,840.15

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Solution

The fourth proportional to 3,165.67, 4,368.60 and 1,840.15 is: 2,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.67 : 4,368.60 = 1,840.15 : x
  2. Step 2: Convert to fraction form
    3,165.67/4,368.60 = 1,840.15/x
  3. Step 3: Cross multiply
    3,165.67x = 4,368.60 × 1,840.15
  4. Step 4: Simplify right side
    3,165.67x = 8,038,879.29
  5. Step 5: Solve for x
    x = 8,038,879.29/3,165.67
  6. Step 6: Final answer
    x = 2,539.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.