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Finding the Fourth Proportional to 2,689.84, 3,713.50 and 1,746.49

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Solution

The fourth proportional to 2,689.84, 3,713.50 and 1,746.49 is: 2,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.84 : 3,713.50 = 1,746.49 : x
  2. Step 2: Convert to fraction form
    2,689.84/3,713.50 = 1,746.49/x
  3. Step 3: Cross multiply
    2,689.84x = 3,713.50 × 1,746.49
  4. Step 4: Simplify right side
    2,689.84x = 6,485,572.05
  5. Step 5: Solve for x
    x = 6,485,572.05/2,689.84
  6. Step 6: Final answer
    x = 2,411.14

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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.