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Finding the Fourth Proportional to 3,085.01, 4,627.51 and 1,785.77

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Solution

The fourth proportional to 3,085.01, 4,627.51 and 1,785.77 is: 2,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.01 : 4,627.51 = 1,785.77 : x
  2. Step 2: Convert to fraction form
    3,085.01/4,627.51 = 1,785.77/x
  3. Step 3: Cross multiply
    3,085.01x = 4,627.51 × 1,785.77
  4. Step 4: Simplify right side
    3,085.01x = 8,263,640.93
  5. Step 5: Solve for x
    x = 8,263,640.93/3,085.01
  6. Step 6: Final answer
    x = 2,678.65

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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.