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Finding the Fourth Proportional to 4,242.26, 6,362.56 and 1,430.82

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Solution

The fourth proportional to 4,242.26, 6,362.56 and 1,430.82 is: 2,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.26 : 6,362.56 = 1,430.82 : x
  2. Step 2: Convert to fraction form
    4,242.26/6,362.56 = 1,430.82/x
  3. Step 3: Cross multiply
    4,242.26x = 6,362.56 × 1,430.82
  4. Step 4: Simplify right side
    4,242.26x = 9,103,670.95
  5. Step 5: Solve for x
    x = 9,103,670.95/4,242.26
  6. Step 6: Final answer
    x = 2,145.95

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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.