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Finding the Fourth Proportional to 2,303.56, 3,453.54 and 1,148.68

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Solution

The fourth proportional to 2,303.56, 3,453.54 and 1,148.68 is: 1,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.56 : 3,453.54 = 1,148.68 : x
  2. Step 2: Convert to fraction form
    2,303.56/3,453.54 = 1,148.68/x
  3. Step 3: Cross multiply
    2,303.56x = 3,453.54 × 1,148.68
  4. Step 4: Simplify right side
    2,303.56x = 3,967,012.33
  5. Step 5: Solve for x
    x = 3,967,012.33/2,303.56
  6. Step 6: Final answer
    x = 1,722.12

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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.