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Finding the Fourth Proportional to 2,297.23, 3,445.10 and 980.95

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Solution

The fourth proportional to 2,297.23, 3,445.10 and 980.95 is: 1,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.23 : 3,445.10 = 980.95 : x
  2. Step 2: Convert to fraction form
    2,297.23/3,445.10 = 980.95/x
  3. Step 3: Cross multiply
    2,297.23x = 3,445.10 × 980.95
  4. Step 4: Simplify right side
    2,297.23x = 3,379,448.71
  5. Step 5: Solve for x
    x = 3,379,448.71/2,297.23
  6. Step 6: Final answer
    x = 1,471.10

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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.