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Finding the Fourth Proportional to 2,289.65, 3,434.32 and 730.77

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Solution

The fourth proportional to 2,289.65, 3,434.32 and 730.77 is: 1,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.65 : 3,434.32 = 730.77 : x
  2. Step 2: Convert to fraction form
    2,289.65/3,434.32 = 730.77/x
  3. Step 3: Cross multiply
    2,289.65x = 3,434.32 × 730.77
  4. Step 4: Simplify right side
    2,289.65x = 2,509,677.20
  5. Step 5: Solve for x
    x = 2,509,677.20/2,289.65
  6. Step 6: Final answer
    x = 1,096.10

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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.