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Finding the Fourth Proportional to 1,897.74, 2,845.53 and 922.62

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Solution

The fourth proportional to 1,897.74, 2,845.53 and 922.62 is: 1,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.74 : 2,845.53 = 922.62 : x
  2. Step 2: Convert to fraction form
    1,897.74/2,845.53 = 922.62/x
  3. Step 3: Cross multiply
    1,897.74x = 2,845.53 × 922.62
  4. Step 4: Simplify right side
    1,897.74x = 2,625,342.89
  5. Step 5: Solve for x
    x = 2,625,342.89/1,897.74
  6. Step 6: Final answer
    x = 1,383.40

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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.