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Finding the Fourth Proportional to 1,897.78, 2,844.82 and 973.76

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Solution

The fourth proportional to 1,897.78, 2,844.82 and 973.76 is: 1,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.78 : 2,844.82 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,897.78/2,844.82 = 973.76/x
  3. Step 3: Cross multiply
    1,897.78x = 2,844.82 × 973.76
  4. Step 4: Simplify right side
    1,897.78x = 2,770,171.92
  5. Step 5: Solve for x
    x = 2,770,171.92/1,897.78
  6. Step 6: Final answer
    x = 1,459.69

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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.