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Finding the Fourth Proportional to 2,059.90, 3,090.87 and 964.35

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Solution

The fourth proportional to 2,059.90, 3,090.87 and 964.35 is: 1,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.90 : 3,090.87 = 964.35 : x
  2. Step 2: Convert to fraction form
    2,059.90/3,090.87 = 964.35/x
  3. Step 3: Cross multiply
    2,059.90x = 3,090.87 × 964.35
  4. Step 4: Simplify right side
    2,059.90x = 2,980,680.48
  5. Step 5: Solve for x
    x = 2,980,680.48/2,059.90
  6. Step 6: Final answer
    x = 1,447.00

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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.