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Finding the Fourth Proportional to 2,823.18, 4,233.74 and 973.80

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Solution

The fourth proportional to 2,823.18, 4,233.74 and 973.80 is: 1,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.18 : 4,233.74 = 973.80 : x
  2. Step 2: Convert to fraction form
    2,823.18/4,233.74 = 973.80/x
  3. Step 3: Cross multiply
    2,823.18x = 4,233.74 × 973.80
  4. Step 4: Simplify right side
    2,823.18x = 4,122,816.01
  5. Step 5: Solve for x
    x = 4,122,816.01/2,823.18
  6. Step 6: Final answer
    x = 1,460.34

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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.