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Finding the Fourth Proportional to 3,430.41, 4,733.72 and 2,014.16

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Solution

The fourth proportional to 3,430.41, 4,733.72 and 2,014.16 is: 2,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.41 : 4,733.72 = 2,014.16 : x
  2. Step 2: Convert to fraction form
    3,430.41/4,733.72 = 2,014.16/x
  3. Step 3: Cross multiply
    3,430.41x = 4,733.72 × 2,014.16
  4. Step 4: Simplify right side
    3,430.41x = 9,534,450.84
  5. Step 5: Solve for x
    x = 9,534,450.84/3,430.41
  6. Step 6: Final answer
    x = 2,779.39

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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.