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Finding the Fourth Proportional to 2,084.40, 3,127.02 and 988.12

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Solution

The fourth proportional to 2,084.40, 3,127.02 and 988.12 is: 1,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.40 : 3,127.02 = 988.12 : x
  2. Step 2: Convert to fraction form
    2,084.40/3,127.02 = 988.12/x
  3. Step 3: Cross multiply
    2,084.40x = 3,127.02 × 988.12
  4. Step 4: Simplify right side
    2,084.40x = 3,089,871.00
  5. Step 5: Solve for x
    x = 3,089,871.00/2,084.40
  6. Step 6: Final answer
    x = 1,482.38

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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.