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Finding the Fourth Proportional to 2,085.33, 3,127.77 and 836.45

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Solution

The fourth proportional to 2,085.33, 3,127.77 and 836.45 is: 1,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.33 : 3,127.77 = 836.45 : x
  2. Step 2: Convert to fraction form
    2,085.33/3,127.77 = 836.45/x
  3. Step 3: Cross multiply
    2,085.33x = 3,127.77 × 836.45
  4. Step 4: Simplify right side
    2,085.33x = 2,616,223.22
  5. Step 5: Solve for x
    x = 2,616,223.22/2,085.33
  6. Step 6: Final answer
    x = 1,254.58

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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.