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Finding the Fourth Proportional to 1,897.83, 2,845.45 and 971.59

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Solution

The fourth proportional to 1,897.83, 2,845.45 and 971.59 is: 1,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.83 : 2,845.45 = 971.59 : x
  2. Step 2: Convert to fraction form
    1,897.83/2,845.45 = 971.59/x
  3. Step 3: Cross multiply
    1,897.83x = 2,845.45 × 971.59
  4. Step 4: Simplify right side
    1,897.83x = 2,764,610.77
  5. Step 5: Solve for x
    x = 2,764,610.77/1,897.83
  6. Step 6: Final answer
    x = 1,456.72

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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.