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Finding the Fourth Proportional to 1,898.96, 2,844.60 and 1,484.24

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Solution

The fourth proportional to 1,898.96, 2,844.60 and 1,484.24 is: 2,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.96 : 2,844.60 = 1,484.24 : x
  2. Step 2: Convert to fraction form
    1,898.96/2,844.60 = 1,484.24/x
  3. Step 3: Cross multiply
    1,898.96x = 2,844.60 × 1,484.24
  4. Step 4: Simplify right side
    1,898.96x = 4,222,069.10
  5. Step 5: Solve for x
    x = 4,222,069.10/1,898.96
  6. Step 6: Final answer
    x = 2,223.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.