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Finding the Fourth Proportional to 2,428.91, 3,641.21 and 1,129.67

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Solution

The fourth proportional to 2,428.91, 3,641.21 and 1,129.67 is: 1,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.91 : 3,641.21 = 1,129.67 : x
  2. Step 2: Convert to fraction form
    2,428.91/3,641.21 = 1,129.67/x
  3. Step 3: Cross multiply
    2,428.91x = 3,641.21 × 1,129.67
  4. Step 4: Simplify right side
    2,428.91x = 4,113,360.05
  5. Step 5: Solve for x
    x = 4,113,360.05/2,428.91
  6. Step 6: Final answer
    x = 1,693.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.