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Finding the Fourth Proportional to 3,094.12, 4,641.18 and 903.07

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Solution

The fourth proportional to 3,094.12, 4,641.18 and 903.07 is: 1,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.12 : 4,641.18 = 903.07 : x
  2. Step 2: Convert to fraction form
    3,094.12/4,641.18 = 903.07/x
  3. Step 3: Cross multiply
    3,094.12x = 4,641.18 × 903.07
  4. Step 4: Simplify right side
    3,094.12x = 4,191,310.42
  5. Step 5: Solve for x
    x = 4,191,310.42/3,094.12
  6. Step 6: Final answer
    x = 1,354.61

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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.