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Finding the Fourth Proportional to 2,090.70, 3,114.88 and 2,070.18

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Solution

The fourth proportional to 2,090.70, 3,114.88 and 2,070.18 is: 3,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.70 : 3,114.88 = 2,070.18 : x
  2. Step 2: Convert to fraction form
    2,090.70/3,114.88 = 2,070.18/x
  3. Step 3: Cross multiply
    2,090.70x = 3,114.88 × 2,070.18
  4. Step 4: Simplify right side
    2,090.70x = 6,448,362.28
  5. Step 5: Solve for x
    x = 6,448,362.28/2,090.70
  6. Step 6: Final answer
    x = 3,084.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.