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Finding the Fourth Proportional to 1,828.02, 2,740.02 and 853.32

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Solution

The fourth proportional to 1,828.02, 2,740.02 and 853.32 is: 1,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.02 : 2,740.02 = 853.32 : x
  2. Step 2: Convert to fraction form
    1,828.02/2,740.02 = 853.32/x
  3. Step 3: Cross multiply
    1,828.02x = 2,740.02 × 853.32
  4. Step 4: Simplify right side
    1,828.02x = 2,338,113.87
  5. Step 5: Solve for x
    x = 2,338,113.87/1,828.02
  6. Step 6: Final answer
    x = 1,279.04

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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.