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Finding the Fourth Proportional to 2,297.95, 3,448.66 and 1,683.25

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Solution

The fourth proportional to 2,297.95, 3,448.66 and 1,683.25 is: 2,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.95 : 3,448.66 = 1,683.25 : x
  2. Step 2: Convert to fraction form
    2,297.95/3,448.66 = 1,683.25/x
  3. Step 3: Cross multiply
    2,297.95x = 3,448.66 × 1,683.25
  4. Step 4: Simplify right side
    2,297.95x = 5,804,971.88
  5. Step 5: Solve for x
    x = 5,804,971.88/2,297.95
  6. Step 6: Final answer
    x = 2,526.15

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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.