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Finding the Fourth Proportional to 1,804.47, 2,485.24 and 1,799.07

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Solution

The fourth proportional to 1,804.47, 2,485.24 and 1,799.07 is: 2,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.47 : 2,485.24 = 1,799.07 : x
  2. Step 2: Convert to fraction form
    1,804.47/2,485.24 = 1,799.07/x
  3. Step 3: Cross multiply
    1,804.47x = 2,485.24 × 1,799.07
  4. Step 4: Simplify right side
    1,804.47x = 4,471,120.73
  5. Step 5: Solve for x
    x = 4,471,120.73/1,804.47
  6. Step 6: Final answer
    x = 2,477.80

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1.5x scale

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.