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Finding the Fourth Proportional to 2,725.91, 3,762.48 and 1,678.85

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Solution

The fourth proportional to 2,725.91, 3,762.48 and 1,678.85 is: 2,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.91 : 3,762.48 = 1,678.85 : x
  2. Step 2: Convert to fraction form
    2,725.91/3,762.48 = 1,678.85/x
  3. Step 3: Cross multiply
    2,725.91x = 3,762.48 × 1,678.85
  4. Step 4: Simplify right side
    2,725.91x = 6,316,612.34
  5. Step 5: Solve for x
    x = 6,316,612.34/2,725.91
  6. Step 6: Final answer
    x = 2,317.25

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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.