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Finding the Fourth Proportional to 1,970.95, 2,719.81 and 1,086.60

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Solution

The fourth proportional to 1,970.95, 2,719.81 and 1,086.60 is: 1,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.95 : 2,719.81 = 1,086.60 : x
  2. Step 2: Convert to fraction form
    1,970.95/2,719.81 = 1,086.60/x
  3. Step 3: Cross multiply
    1,970.95x = 2,719.81 × 1,086.60
  4. Step 4: Simplify right side
    1,970.95x = 2,955,345.55
  5. Step 5: Solve for x
    x = 2,955,345.55/1,970.95
  6. Step 6: Final answer
    x = 1,499.45

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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.