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Finding the Fourth Proportional to 2,421.16, 3,631.73 and 689.78

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Solution

The fourth proportional to 2,421.16, 3,631.73 and 689.78 is: 1,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.16 : 3,631.73 = 689.78 : x
  2. Step 2: Convert to fraction form
    2,421.16/3,631.73 = 689.78/x
  3. Step 3: Cross multiply
    2,421.16x = 3,631.73 × 689.78
  4. Step 4: Simplify right side
    2,421.16x = 2,505,094.72
  5. Step 5: Solve for x
    x = 2,505,094.72/2,421.16
  6. Step 6: Final answer
    x = 1,034.67

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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.