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Finding the Fourth Proportional to 2,098.99, 3,148.59 and 1,485.44

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Solution

The fourth proportional to 2,098.99, 3,148.59 and 1,485.44 is: 2,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.99 : 3,148.59 = 1,485.44 : x
  2. Step 2: Convert to fraction form
    2,098.99/3,148.59 = 1,485.44/x
  3. Step 3: Cross multiply
    2,098.99x = 3,148.59 × 1,485.44
  4. Step 4: Simplify right side
    2,098.99x = 4,677,041.53
  5. Step 5: Solve for x
    x = 4,677,041.53/2,098.99
  6. Step 6: Final answer
    x = 2,228.23

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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.