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Finding the Fourth Proportional to 2,688.84, 3,712.12 and 1,745.48

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Solution

The fourth proportional to 2,688.84, 3,712.12 and 1,745.48 is: 2,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.84 : 3,712.12 = 1,745.48 : x
  2. Step 2: Convert to fraction form
    2,688.84/3,712.12 = 1,745.48/x
  3. Step 3: Cross multiply
    2,688.84x = 3,712.12 × 1,745.48
  4. Step 4: Simplify right side
    2,688.84x = 6,479,436.13
  5. Step 5: Solve for x
    x = 6,479,436.13/2,688.84
  6. Step 6: Final answer
    x = 2,409.75

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1.5x scale

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.