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Finding the Fourth Proportional to 2,902.63, 4,007.70 and 1,785.05

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Solution

The fourth proportional to 2,902.63, 4,007.70 and 1,785.05 is: 2,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.63 : 4,007.70 = 1,785.05 : x
  2. Step 2: Convert to fraction form
    2,902.63/4,007.70 = 1,785.05/x
  3. Step 3: Cross multiply
    2,902.63x = 4,007.70 × 1,785.05
  4. Step 4: Simplify right side
    2,902.63x = 7,153,944.89
  5. Step 5: Solve for x
    x = 7,153,944.89/2,902.63
  6. Step 6: Final answer
    x = 2,464.64

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