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Finding the Fourth Proportional to 4,682.76, 7,024.14 and 1,220.01

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Solution

The fourth proportional to 4,682.76, 7,024.14 and 1,220.01 is: 1,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.76 : 7,024.14 = 1,220.01 : x
  2. Step 2: Convert to fraction form
    4,682.76/7,024.14 = 1,220.01/x
  3. Step 3: Cross multiply
    4,682.76x = 7,024.14 × 1,220.01
  4. Step 4: Simplify right side
    4,682.76x = 8,569,521.04
  5. Step 5: Solve for x
    x = 8,569,521.04/4,682.76
  6. Step 6: Final answer
    x = 1,830.02

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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.