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Finding the Fourth Proportional to 4,822.75, 7,234.14 and 1,360

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Solution

The fourth proportional to 4,822.75, 7,234.14 and 1,360 is: 2,040.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.75 : 7,234.14 = 1,360 : x
  2. Step 2: Convert to fraction form
    4,822.75/7,234.14 = 1,360/x
  3. Step 3: Cross multiply
    4,822.75x = 7,234.14 × 1,360
  4. Step 4: Simplify right side
    4,822.75x = 9,838,430.40
  5. Step 5: Solve for x
    x = 9,838,430.40/4,822.75
  6. Step 6: Final answer
    x = 2,040.00

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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.