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Finding the Fourth Proportional to 2,997.60, 4,466.30 and 2,829.93

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Solution

The fourth proportional to 2,997.60, 4,466.30 and 2,829.93 is: 4,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.60 : 4,466.30 = 2,829.93 : x
  2. Step 2: Convert to fraction form
    2,997.60/4,466.30 = 2,829.93/x
  3. Step 3: Cross multiply
    2,997.60x = 4,466.30 × 2,829.93
  4. Step 4: Simplify right side
    2,997.60x = 12,639,302.21
  5. Step 5: Solve for x
    x = 12,639,302.21/2,997.60
  6. Step 6: Final answer
    x = 4,216.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.