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Finding the Fourth Proportional to 2,586.71, 3,573.83 and 1,804.25

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Solution

The fourth proportional to 2,586.71, 3,573.83 and 1,804.25 is: 2,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.71 : 3,573.83 = 1,804.25 : x
  2. Step 2: Convert to fraction form
    2,586.71/3,573.83 = 1,804.25/x
  3. Step 3: Cross multiply
    2,586.71x = 3,573.83 × 1,804.25
  4. Step 4: Simplify right side
    2,586.71x = 6,448,069.42
  5. Step 5: Solve for x
    x = 6,448,069.42/2,586.71
  6. Step 6: Final answer
    x = 2,492.77

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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.