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Finding the Fourth Proportional to 2,689.49, 4,032.57 and 934.08

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Solution

The fourth proportional to 2,689.49, 4,032.57 and 934.08 is: 1,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.49 : 4,032.57 = 934.08 : x
  2. Step 2: Convert to fraction form
    2,689.49/4,032.57 = 934.08/x
  3. Step 3: Cross multiply
    2,689.49x = 4,032.57 × 934.08
  4. Step 4: Simplify right side
    2,689.49x = 3,766,742.99
  5. Step 5: Solve for x
    x = 3,766,742.99/2,689.49
  6. Step 6: Final answer
    x = 1,400.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.