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Finding the Fourth Proportional to 2,586.96, 3,574.18 and 1,804.50

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Solution

The fourth proportional to 2,586.96, 3,574.18 and 1,804.50 is: 2,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.96 : 3,574.18 = 1,804.50 : x
  2. Step 2: Convert to fraction form
    2,586.96/3,574.18 = 1,804.50/x
  3. Step 3: Cross multiply
    2,586.96x = 3,574.18 × 1,804.50
  4. Step 4: Simplify right side
    2,586.96x = 6,449,607.81
  5. Step 5: Solve for x
    x = 6,449,607.81/2,586.96
  6. Step 6: Final answer
    x = 2,493.12

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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.