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Finding the Fourth Proportional to 1,858.86, 2,568.24 and 1,582.02

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Solution

The fourth proportional to 1,858.86, 2,568.24 and 1,582.02 is: 2,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.86 : 2,568.24 = 1,582.02 : x
  2. Step 2: Convert to fraction form
    1,858.86/2,568.24 = 1,582.02/x
  3. Step 3: Cross multiply
    1,858.86x = 2,568.24 × 1,582.02
  4. Step 4: Simplify right side
    1,858.86x = 4,063,007.04
  5. Step 5: Solve for x
    x = 4,063,007.04/1,858.86
  6. Step 6: Final answer
    x = 2,185.75

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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.