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Finding the Fourth Proportional to 3,145.34, 4,717.16 and 1,501.44

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Solution

The fourth proportional to 3,145.34, 4,717.16 and 1,501.44 is: 2,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.34 : 4,717.16 = 1,501.44 : x
  2. Step 2: Convert to fraction form
    3,145.34/4,717.16 = 1,501.44/x
  3. Step 3: Cross multiply
    3,145.34x = 4,717.16 × 1,501.44
  4. Step 4: Simplify right side
    3,145.34x = 7,082,532.71
  5. Step 5: Solve for x
    x = 7,082,532.71/3,145.34
  6. Step 6: Final answer
    x = 2,251.75

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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.