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Finding the Fourth Proportional to 2,347.15, 3,235.61 and 1,786.64

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Solution

The fourth proportional to 2,347.15, 3,235.61 and 1,786.64 is: 2,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.15 : 3,235.61 = 1,786.64 : x
  2. Step 2: Convert to fraction form
    2,347.15/3,235.61 = 1,786.64/x
  3. Step 3: Cross multiply
    2,347.15x = 3,235.61 × 1,786.64
  4. Step 4: Simplify right side
    2,347.15x = 5,780,862.16
  5. Step 5: Solve for x
    x = 5,780,862.16/2,347.15
  6. Step 6: Final answer
    x = 2,462.93

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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.