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Finding the Fourth Proportional to 1,858.96, 2,782.68 and 1,346.32

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Solution

The fourth proportional to 1,858.96, 2,782.68 and 1,346.32 is: 2,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.96 : 2,782.68 = 1,346.32 : x
  2. Step 2: Convert to fraction form
    1,858.96/2,782.68 = 1,346.32/x
  3. Step 3: Cross multiply
    1,858.96x = 2,782.68 × 1,346.32
  4. Step 4: Simplify right side
    1,858.96x = 3,746,377.74
  5. Step 5: Solve for x
    x = 3,746,377.74/1,858.96
  6. Step 6: Final answer
    x = 2,015.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.