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Finding the Fourth Proportional to 2,898.30, 4,002.30 and 1,852.20

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Solution

The fourth proportional to 2,898.30, 4,002.30 and 1,852.20 is: 2,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.30 : 4,002.30 = 1,852.20 : x
  2. Step 2: Convert to fraction form
    2,898.30/4,002.30 = 1,852.20/x
  3. Step 3: Cross multiply
    2,898.30x = 4,002.30 × 1,852.20
  4. Step 4: Simplify right side
    2,898.30x = 7,413,060.06
  5. Step 5: Solve for x
    x = 7,413,060.06/2,898.30
  6. Step 6: Final answer
    x = 2,557.73

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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.