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Finding the Fourth Proportional to 2,347.85, 3,244.35 and 1,683.65

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Solution

The fourth proportional to 2,347.85, 3,244.35 and 1,683.65 is: 2,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.85 : 3,244.35 = 1,683.65 : x
  2. Step 2: Convert to fraction form
    2,347.85/3,244.35 = 1,683.65/x
  3. Step 3: Cross multiply
    2,347.85x = 3,244.35 × 1,683.65
  4. Step 4: Simplify right side
    2,347.85x = 5,462,364.30
  5. Step 5: Solve for x
    x = 5,462,364.30/2,347.85
  6. Step 6: Final answer
    x = 2,326.54

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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.