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Finding the Fourth Proportional to 3,141.65, 4,698.66 and 2,365.31

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Solution

The fourth proportional to 3,141.65, 4,698.66 and 2,365.31 is: 3,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.65 : 4,698.66 = 2,365.31 : x
  2. Step 2: Convert to fraction form
    3,141.65/4,698.66 = 2,365.31/x
  3. Step 3: Cross multiply
    3,141.65x = 4,698.66 × 2,365.31
  4. Step 4: Simplify right side
    3,141.65x = 11,113,787.48
  5. Step 5: Solve for x
    x = 11,113,787.48/3,141.65
  6. Step 6: Final answer
    x = 3,537.56

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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.