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Finding the Fourth Proportional to 3,429.99, 4,730.76 and 2,102.58

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Solution

The fourth proportional to 3,429.99, 4,730.76 and 2,102.58 is: 2,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.99 : 4,730.76 = 2,102.58 : x
  2. Step 2: Convert to fraction form
    3,429.99/4,730.76 = 2,102.58/x
  3. Step 3: Cross multiply
    3,429.99x = 4,730.76 × 2,102.58
  4. Step 4: Simplify right side
    3,429.99x = 9,946,801.36
  5. Step 5: Solve for x
    x = 9,946,801.36/3,429.99
  6. Step 6: Final answer
    x = 2,899.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.