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Finding the Fourth Proportional to 1,858.37, 2,774.80 and 1,584.32

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Solution

The fourth proportional to 1,858.37, 2,774.80 and 1,584.32 is: 2,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.37 : 2,774.80 = 1,584.32 : x
  2. Step 2: Convert to fraction form
    1,858.37/2,774.80 = 1,584.32/x
  3. Step 3: Cross multiply
    1,858.37x = 2,774.80 × 1,584.32
  4. Step 4: Simplify right side
    1,858.37x = 4,396,159.24
  5. Step 5: Solve for x
    x = 4,396,159.24/1,858.37
  6. Step 6: Final answer
    x = 2,365.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.