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Finding the Fourth Proportional to 2,085.60, 2,877.18 and 1,201.08

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Solution

The fourth proportional to 2,085.60, 2,877.18 and 1,201.08 is: 1,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.60 : 2,877.18 = 1,201.08 : x
  2. Step 2: Convert to fraction form
    2,085.60/2,877.18 = 1,201.08/x
  3. Step 3: Cross multiply
    2,085.60x = 2,877.18 × 1,201.08
  4. Step 4: Simplify right side
    2,085.60x = 3,455,723.35
  5. Step 5: Solve for x
    x = 3,455,723.35/2,085.60
  6. Step 6: Final answer
    x = 1,656.94

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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.