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Finding the Fourth Proportional to 2,074.66, 3,111.24 and 904.60

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Solution

The fourth proportional to 2,074.66, 3,111.24 and 904.60 is: 1,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.66 : 3,111.24 = 904.60 : x
  2. Step 2: Convert to fraction form
    2,074.66/3,111.24 = 904.60/x
  3. Step 3: Cross multiply
    2,074.66x = 3,111.24 × 904.60
  4. Step 4: Simplify right side
    2,074.66x = 2,814,427.70
  5. Step 5: Solve for x
    x = 2,814,427.70/2,074.66
  6. Step 6: Final answer
    x = 1,356.57

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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.