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Finding the Fourth Proportional to 2,263.10, 3,394.66 and 703.07

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Solution

The fourth proportional to 2,263.10, 3,394.66 and 703.07 is: 1,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.10 : 3,394.66 = 703.07 : x
  2. Step 2: Convert to fraction form
    2,263.10/3,394.66 = 703.07/x
  3. Step 3: Cross multiply
    2,263.10x = 3,394.66 × 703.07
  4. Step 4: Simplify right side
    2,263.10x = 2,386,664.88
  5. Step 5: Solve for x
    x = 2,386,664.88/2,263.10
  6. Step 6: Final answer
    x = 1,054.60

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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.