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Finding the Fourth Proportional to 2,842.83, 4,263.93 and 1,606.32

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Solution

The fourth proportional to 2,842.83, 4,263.93 and 1,606.32 is: 2,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.83 : 4,263.93 = 1,606.32 : x
  2. Step 2: Convert to fraction form
    2,842.83/4,263.93 = 1,606.32/x
  3. Step 3: Cross multiply
    2,842.83x = 4,263.93 × 1,606.32
  4. Step 4: Simplify right side
    2,842.83x = 6,849,236.04
  5. Step 5: Solve for x
    x = 6,849,236.04/2,842.83
  6. Step 6: Final answer
    x = 2,409.30

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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.