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Finding the Fourth Proportional to 1,804.54, 2,719.75 and 1,704.06

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Solution

The fourth proportional to 1,804.54, 2,719.75 and 1,704.06 is: 2,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.54 : 2,719.75 = 1,704.06 : x
  2. Step 2: Convert to fraction form
    1,804.54/2,719.75 = 1,704.06/x
  3. Step 3: Cross multiply
    1,804.54x = 2,719.75 × 1,704.06
  4. Step 4: Simplify right side
    1,804.54x = 4,634,617.19
  5. Step 5: Solve for x
    x = 4,634,617.19/1,804.54
  6. Step 6: Final answer
    x = 2,568.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.