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Finding the Fourth Proportional to 2,703.86, 4,056.45 and 1,594.22

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Solution

The fourth proportional to 2,703.86, 4,056.45 and 1,594.22 is: 2,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.86 : 4,056.45 = 1,594.22 : x
  2. Step 2: Convert to fraction form
    2,703.86/4,056.45 = 1,594.22/x
  3. Step 3: Cross multiply
    2,703.86x = 4,056.45 × 1,594.22
  4. Step 4: Simplify right side
    2,703.86x = 6,466,853.44
  5. Step 5: Solve for x
    x = 6,466,853.44/2,703.86
  6. Step 6: Final answer
    x = 2,391.72

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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.