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Finding the Fourth Proportional to 2,059.56, 3,089.52 and 904.68

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Solution

The fourth proportional to 2,059.56, 3,089.52 and 904.68 is: 1,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.56 : 3,089.52 = 904.68 : x
  2. Step 2: Convert to fraction form
    2,059.56/3,089.52 = 904.68/x
  3. Step 3: Cross multiply
    2,059.56x = 3,089.52 × 904.68
  4. Step 4: Simplify right side
    2,059.56x = 2,795,026.95
  5. Step 5: Solve for x
    x = 2,795,026.95/2,059.56
  6. Step 6: Final answer
    x = 1,357.10

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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.