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Finding the Fourth Proportional to 1,970.95, 2,719.87 and 1,074.69

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Solution

The fourth proportional to 1,970.95, 2,719.87 and 1,074.69 is: 1,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.95 : 2,719.87 = 1,074.69 : x
  2. Step 2: Convert to fraction form
    1,970.95/2,719.87 = 1,074.69/x
  3. Step 3: Cross multiply
    1,970.95x = 2,719.87 × 1,074.69
  4. Step 4: Simplify right side
    1,970.95x = 2,923,017.09
  5. Step 5: Solve for x
    x = 2,923,017.09/1,970.95
  6. Step 6: Final answer
    x = 1,483.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.