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Finding the Fourth Proportional to 3,430.77, 4,734.47 and 2,014.18

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Solution

The fourth proportional to 3,430.77, 4,734.47 and 2,014.18 is: 2,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.77 : 4,734.47 = 2,014.18 : x
  2. Step 2: Convert to fraction form
    3,430.77/4,734.47 = 2,014.18/x
  3. Step 3: Cross multiply
    3,430.77x = 4,734.47 × 2,014.18
  4. Step 4: Simplify right side
    3,430.77x = 9,536,074.78
  5. Step 5: Solve for x
    x = 9,536,074.78/3,430.77
  6. Step 6: Final answer
    x = 2,779.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.