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Finding the Fourth Proportional to 1,897.84, 2,845.54 and 923.41

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Solution

The fourth proportional to 1,897.84, 2,845.54 and 923.41 is: 1,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.84 : 2,845.54 = 923.41 : x
  2. Step 2: Convert to fraction form
    1,897.84/2,845.54 = 923.41/x
  3. Step 3: Cross multiply
    1,897.84x = 2,845.54 × 923.41
  4. Step 4: Simplify right side
    1,897.84x = 2,627,600.09
  5. Step 5: Solve for x
    x = 2,627,600.09/1,897.84
  6. Step 6: Final answer
    x = 1,384.52

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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.