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Finding the Fourth Proportional to 1,898.72, 2,848.40 and 582.43

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Solution

The fourth proportional to 1,898.72, 2,848.40 and 582.43 is: 873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.72 : 2,848.40 = 582.43 : x
  2. Step 2: Convert to fraction form
    1,898.72/2,848.40 = 582.43/x
  3. Step 3: Cross multiply
    1,898.72x = 2,848.40 × 582.43
  4. Step 4: Simplify right side
    1,898.72x = 1,658,993.61
  5. Step 5: Solve for x
    x = 1,658,993.61/1,898.72
  6. Step 6: Final answer
    x = 873.74

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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.