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Finding the Fourth Proportional to 2,569.32, 3,542.94 and 1,905.12

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Solution

The fourth proportional to 2,569.32, 3,542.94 and 1,905.12 is: 2,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.32 : 3,542.94 = 1,905.12 : x
  2. Step 2: Convert to fraction form
    2,569.32/3,542.94 = 1,905.12/x
  3. Step 3: Cross multiply
    2,569.32x = 3,542.94 × 1,905.12
  4. Step 4: Simplify right side
    2,569.32x = 6,749,725.85
  5. Step 5: Solve for x
    x = 6,749,725.85/2,569.32
  6. Step 6: Final answer
    x = 2,627.05

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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.