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Finding the Fourth Proportional to 2,509.60, 3,759.53 and 1,211.98

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Solution

The fourth proportional to 2,509.60, 3,759.53 and 1,211.98 is: 1,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.60 : 3,759.53 = 1,211.98 : x
  2. Step 2: Convert to fraction form
    2,509.60/3,759.53 = 1,211.98/x
  3. Step 3: Cross multiply
    2,509.60x = 3,759.53 × 1,211.98
  4. Step 4: Simplify right side
    2,509.60x = 4,556,459.40
  5. Step 5: Solve for x
    x = 4,556,459.40/2,509.60
  6. Step 6: Final answer
    x = 1,815.62

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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.