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Finding the Fourth Proportional to 2,207.40, 3,305.70 and 1,051.80

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Solution

The fourth proportional to 2,207.40, 3,305.70 and 1,051.80 is: 1,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.40 : 3,305.70 = 1,051.80 : x
  2. Step 2: Convert to fraction form
    2,207.40/3,305.70 = 1,051.80/x
  3. Step 3: Cross multiply
    2,207.40x = 3,305.70 × 1,051.80
  4. Step 4: Simplify right side
    2,207.40x = 3,476,935.26
  5. Step 5: Solve for x
    x = 3,476,935.26/2,207.40
  6. Step 6: Final answer
    x = 1,575.13

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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.