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Finding the Fourth Proportional to 1,771.54, 2,654.88 and 904.03

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Solution

The fourth proportional to 1,771.54, 2,654.88 and 904.03 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.54 : 2,654.88 = 904.03 : x
  2. Step 2: Convert to fraction form
    1,771.54/2,654.88 = 904.03/x
  3. Step 3: Cross multiply
    1,771.54x = 2,654.88 × 904.03
  4. Step 4: Simplify right side
    1,771.54x = 2,400,091.17
  5. Step 5: Solve for x
    x = 2,400,091.17/1,771.54
  6. Step 6: Final answer
    x = 1,354.80

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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.