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Finding the Fourth Proportional to 2,202.22, 3,303.46 and 701.10

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Solution

The fourth proportional to 2,202.22, 3,303.46 and 701.10 is: 1,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.22 : 3,303.46 = 701.10 : x
  2. Step 2: Convert to fraction form
    2,202.22/3,303.46 = 701.10/x
  3. Step 3: Cross multiply
    2,202.22x = 3,303.46 × 701.10
  4. Step 4: Simplify right side
    2,202.22x = 2,316,055.81
  5. Step 5: Solve for x
    x = 2,316,055.81/2,202.22
  6. Step 6: Final answer
    x = 1,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.