Home / 2,277.06-3,412.86-975.80

Finding the Fourth Proportional to 2,277.06, 3,412.86 and 975.80

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Solution

The fourth proportional to 2,277.06, 3,412.86 and 975.80 is: 1,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.06 : 3,412.86 = 975.80 : x
  2. Step 2: Convert to fraction form
    2,277.06/3,412.86 = 975.80/x
  3. Step 3: Cross multiply
    2,277.06x = 3,412.86 × 975.80
  4. Step 4: Simplify right side
    2,277.06x = 3,330,257.21
  5. Step 5: Solve for x
    x = 3,330,257.21/2,277.06
  6. Step 6: Final answer
    x = 1,462.52

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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.