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Finding the Fourth Proportional to 3,094.52, 4,642.23 and 902.98

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Solution

The fourth proportional to 3,094.52, 4,642.23 and 902.98 is: 1,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.52 : 4,642.23 = 902.98 : x
  2. Step 2: Convert to fraction form
    3,094.52/4,642.23 = 902.98/x
  3. Step 3: Cross multiply
    3,094.52x = 4,642.23 × 902.98
  4. Step 4: Simplify right side
    3,094.52x = 4,191,817.63
  5. Step 5: Solve for x
    x = 4,191,817.63/3,094.52
  6. Step 6: Final answer
    x = 1,354.59

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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.