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Finding the Fourth Proportional to 2,014.80, 2,823.60 and 2,014.80

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Solution

The fourth proportional to 2,014.80, 2,823.60 and 2,014.80 is: 2,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.80 : 2,823.60 = 2,014.80 : x
  2. Step 2: Convert to fraction form
    2,014.80/2,823.60 = 2,014.80/x
  3. Step 3: Cross multiply
    2,014.80x = 2,823.60 × 2,014.80
  4. Step 4: Simplify right side
    2,014.80x = 5,688,989.28
  5. Step 5: Solve for x
    x = 5,688,989.28/2,014.80
  6. Step 6: Final answer
    x = 2,823.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.