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Finding the Fourth Proportional to 1,898.88, 2,845.08 and 1,532.76

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Solution

The fourth proportional to 1,898.88, 2,845.08 and 1,532.76 is: 2,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.88 : 2,845.08 = 1,532.76 : x
  2. Step 2: Convert to fraction form
    1,898.88/2,845.08 = 1,532.76/x
  3. Step 3: Cross multiply
    1,898.88x = 2,845.08 × 1,532.76
  4. Step 4: Simplify right side
    1,898.88x = 4,360,824.82
  5. Step 5: Solve for x
    x = 4,360,824.82/1,898.88
  6. Step 6: Final answer
    x = 2,296.52

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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.