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Finding the Fourth Proportional to 2,703.80, 4,046.10 and 1,878.20

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Solution

The fourth proportional to 2,703.80, 4,046.10 and 1,878.20 is: 2,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.80 : 4,046.10 = 1,878.20 : x
  2. Step 2: Convert to fraction form
    2,703.80/4,046.10 = 1,878.20/x
  3. Step 3: Cross multiply
    2,703.80x = 4,046.10 × 1,878.20
  4. Step 4: Simplify right side
    2,703.80x = 7,599,385.02
  5. Step 5: Solve for x
    x = 7,599,385.02/2,703.80
  6. Step 6: Final answer
    x = 2,810.63

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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.