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Finding the Fourth Proportional to 1,898.47, 2,847.70 and 1,148.13

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Solution

The fourth proportional to 1,898.47, 2,847.70 and 1,148.13 is: 1,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.47 : 2,847.70 = 1,148.13 : x
  2. Step 2: Convert to fraction form
    1,898.47/2,847.70 = 1,148.13/x
  3. Step 3: Cross multiply
    1,898.47x = 2,847.70 × 1,148.13
  4. Step 4: Simplify right side
    1,898.47x = 3,269,509.82
  5. Step 5: Solve for x
    x = 3,269,509.82/1,898.47
  6. Step 6: Final answer
    x = 1,722.18

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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.