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Finding the Fourth Proportional to 2,586.46, 3,573.49 and 1,804.00

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Solution

The fourth proportional to 2,586.46, 3,573.49 and 1,804.00 is: 2,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.46 : 3,573.49 = 1,804.00 : x
  2. Step 2: Convert to fraction form
    2,586.46/3,573.49 = 1,804.00/x
  3. Step 3: Cross multiply
    2,586.46x = 3,573.49 × 1,804.00
  4. Step 4: Simplify right side
    2,586.46x = 6,446,558.09
  5. Step 5: Solve for x
    x = 6,446,558.09/2,586.46
  6. Step 6: Final answer
    x = 2,492.43

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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.