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Finding the Fourth Proportional to 3,430.76, 4,734.41 and 2,014.20

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Solution

The fourth proportional to 3,430.76, 4,734.41 and 2,014.20 is: 2,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.76 : 4,734.41 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    3,430.76/4,734.41 = 2,014.20/x
  3. Step 3: Cross multiply
    3,430.76x = 4,734.41 × 2,014.20
  4. Step 4: Simplify right side
    3,430.76x = 9,536,053.66
  5. Step 5: Solve for x
    x = 9,536,053.66/3,430.76
  6. Step 6: Final answer
    x = 2,779.57

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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.