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Finding the Fourth Proportional to 1,245.73, 1,867.23 and 971.02

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Solution

The fourth proportional to 1,245.73, 1,867.23 and 971.02 is: 1,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.73 : 1,867.23 = 971.02 : x
  2. Step 2: Convert to fraction form
    1,245.73/1,867.23 = 971.02/x
  3. Step 3: Cross multiply
    1,245.73x = 1,867.23 × 971.02
  4. Step 4: Simplify right side
    1,245.73x = 1,813,117.67
  5. Step 5: Solve for x
    x = 1,813,117.67/1,245.73
  6. Step 6: Final answer
    x = 1,455.47

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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.