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Finding the Fourth Proportional to 2,117.15, 3,176.35 and 636.32

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Solution

The fourth proportional to 2,117.15, 3,176.35 and 636.32 is: 954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.15 : 3,176.35 = 636.32 : x
  2. Step 2: Convert to fraction form
    2,117.15/3,176.35 = 636.32/x
  3. Step 3: Cross multiply
    2,117.15x = 3,176.35 × 636.32
  4. Step 4: Simplify right side
    2,117.15x = 2,021,181.38
  5. Step 5: Solve for x
    x = 2,021,181.38/2,117.15
  6. Step 6: Final answer
    x = 954.67

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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.