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Finding the Fourth Proportional to 2,346.57, 3,235.75 and 1,977.62

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Solution

The fourth proportional to 2,346.57, 3,235.75 and 1,977.62 is: 2,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.57 : 3,235.75 = 1,977.62 : x
  2. Step 2: Convert to fraction form
    2,346.57/3,235.75 = 1,977.62/x
  3. Step 3: Cross multiply
    2,346.57x = 3,235.75 × 1,977.62
  4. Step 4: Simplify right side
    2,346.57x = 6,399,062.79
  5. Step 5: Solve for x
    x = 6,399,062.79/2,346.57
  6. Step 6: Final answer
    x = 2,726.99

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