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Finding the Fourth Proportional to 2,085.58, 2,877.57 and 1,299.07

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Solution

The fourth proportional to 2,085.58, 2,877.57 and 1,299.07 is: 1,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.58 : 2,877.57 = 1,299.07 : x
  2. Step 2: Convert to fraction form
    2,085.58/2,877.57 = 1,299.07/x
  3. Step 3: Cross multiply
    2,085.58x = 2,877.57 × 1,299.07
  4. Step 4: Simplify right side
    2,085.58x = 3,738,164.86
  5. Step 5: Solve for x
    x = 3,738,164.86/2,085.58
  6. Step 6: Final answer
    x = 1,792.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.