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Finding the Fourth Proportional to 3,094.30, 4,642.10 and 1,014.15

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Solution

The fourth proportional to 3,094.30, 4,642.10 and 1,014.15 is: 1,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.30 : 4,642.10 = 1,014.15 : x
  2. Step 2: Convert to fraction form
    3,094.30/4,642.10 = 1,014.15/x
  3. Step 3: Cross multiply
    3,094.30x = 4,642.10 × 1,014.15
  4. Step 4: Simplify right side
    3,094.30x = 4,707,785.72
  5. Step 5: Solve for x
    x = 4,707,785.72/3,094.30
  6. Step 6: Final answer
    x = 1,521.44

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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.