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Finding the Fourth Proportional to 2,735.72, 3,775.68 and 1,688

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Solution

The fourth proportional to 2,735.72, 3,775.68 and 1,688 is: 2,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.72 : 3,775.68 = 1,688 : x
  2. Step 2: Convert to fraction form
    2,735.72/3,775.68 = 1,688/x
  3. Step 3: Cross multiply
    2,735.72x = 3,775.68 × 1,688
  4. Step 4: Simplify right side
    2,735.72x = 6,373,347.84
  5. Step 5: Solve for x
    x = 6,373,347.84/2,735.72
  6. Step 6: Final answer
    x = 2,329.68

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Why These Related Problems?

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