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Finding the Fourth Proportional to 4,292.34, 6,439.34 and 1,518.70

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Solution

The fourth proportional to 4,292.34, 6,439.34 and 1,518.70 is: 2,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.34 : 6,439.34 = 1,518.70 : x
  2. Step 2: Convert to fraction form
    4,292.34/6,439.34 = 1,518.70/x
  3. Step 3: Cross multiply
    4,292.34x = 6,439.34 × 1,518.70
  4. Step 4: Simplify right side
    4,292.34x = 9,779,425.66
  5. Step 5: Solve for x
    x = 9,779,425.66/4,292.34
  6. Step 6: Final answer
    x = 2,278.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.