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Finding the Fourth Proportional to 2,823.13, 4,233.60 and 973.90

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Solution

The fourth proportional to 2,823.13, 4,233.60 and 973.90 is: 1,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.13 : 4,233.60 = 973.90 : x
  2. Step 2: Convert to fraction form
    2,823.13/4,233.60 = 973.90/x
  3. Step 3: Cross multiply
    2,823.13x = 4,233.60 × 973.90
  4. Step 4: Simplify right side
    2,823.13x = 4,123,103.04
  5. Step 5: Solve for x
    x = 4,123,103.04/2,823.13
  6. Step 6: Final answer
    x = 1,460.47

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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.