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Finding the Fourth Proportional to 2,085.32, 3,125.37 and 852.05

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Solution

The fourth proportional to 2,085.32, 3,125.37 and 852.05 is: 1,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.32 : 3,125.37 = 852.05 : x
  2. Step 2: Convert to fraction form
    2,085.32/3,125.37 = 852.05/x
  3. Step 3: Cross multiply
    2,085.32x = 3,125.37 × 852.05
  4. Step 4: Simplify right side
    2,085.32x = 2,662,971.51
  5. Step 5: Solve for x
    x = 2,662,971.51/2,085.32
  6. Step 6: Final answer
    x = 1,277.01

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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.