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Finding the Fourth Proportional to 3,117.70, 4,676.54 and 1,143.42

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Solution

The fourth proportional to 3,117.70, 4,676.54 and 1,143.42 is: 1,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.70 : 4,676.54 = 1,143.42 : x
  2. Step 2: Convert to fraction form
    3,117.70/4,676.54 = 1,143.42/x
  3. Step 3: Cross multiply
    3,117.70x = 4,676.54 × 1,143.42
  4. Step 4: Simplify right side
    3,117.70x = 5,347,225.98
  5. Step 5: Solve for x
    x = 5,347,225.98/3,117.70
  6. Step 6: Final answer
    x = 1,715.12

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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.