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Finding the Fourth Proportional to 2,794.01, 4,186.40 and 1,970.55

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Solution

The fourth proportional to 2,794.01, 4,186.40 and 1,970.55 is: 2,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.01 : 4,186.40 = 1,970.55 : x
  2. Step 2: Convert to fraction form
    2,794.01/4,186.40 = 1,970.55/x
  3. Step 3: Cross multiply
    2,794.01x = 4,186.40 × 1,970.55
  4. Step 4: Simplify right side
    2,794.01x = 8,249,523.76
  5. Step 5: Solve for x
    x = 8,249,523.76/2,794.01
  6. Step 6: Final answer
    x = 2,952.58

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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.