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Finding the Fourth Proportional to 2,094.30, 3,139.53 and 999.18

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Solution

The fourth proportional to 2,094.30, 3,139.53 and 999.18 is: 1,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.30 : 3,139.53 = 999.18 : x
  2. Step 2: Convert to fraction form
    2,094.30/3,139.53 = 999.18/x
  3. Step 3: Cross multiply
    2,094.30x = 3,139.53 × 999.18
  4. Step 4: Simplify right side
    2,094.30x = 3,136,955.59
  5. Step 5: Solve for x
    x = 3,136,955.59/2,094.30
  6. Step 6: Final answer
    x = 1,497.85

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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.