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Finding the Fourth Proportional to 3,094.20, 4,642.14 and 903.12

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Solution

The fourth proportional to 3,094.20, 4,642.14 and 903.12 is: 1,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.20 : 4,642.14 = 903.12 : x
  2. Step 2: Convert to fraction form
    3,094.20/4,642.14 = 903.12/x
  3. Step 3: Cross multiply
    3,094.20x = 4,642.14 × 903.12
  4. Step 4: Simplify right side
    3,094.20x = 4,192,409.48
  5. Step 5: Solve for x
    x = 4,192,409.48/3,094.20
  6. Step 6: Final answer
    x = 1,354.93

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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.