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Finding the Fourth Proportional to 1,828.26, 2,740.50 and 732.15

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Solution

The fourth proportional to 1,828.26, 2,740.50 and 732.15 is: 1,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.26 : 2,740.50 = 732.15 : x
  2. Step 2: Convert to fraction form
    1,828.26/2,740.50 = 732.15/x
  3. Step 3: Cross multiply
    1,828.26x = 2,740.50 × 732.15
  4. Step 4: Simplify right side
    1,828.26x = 2,006,457.08
  5. Step 5: Solve for x
    x = 2,006,457.08/1,828.26
  6. Step 6: Final answer
    x = 1,097.47

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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.