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Finding the Fourth Proportional to 1,966.55, 2,708.57 and 1,468.40

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Solution

The fourth proportional to 1,966.55, 2,708.57 and 1,468.40 is: 2,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.55 : 2,708.57 = 1,468.40 : x
  2. Step 2: Convert to fraction form
    1,966.55/2,708.57 = 1,468.40/x
  3. Step 3: Cross multiply
    1,966.55x = 2,708.57 × 1,468.40
  4. Step 4: Simplify right side
    1,966.55x = 3,977,254.32
  5. Step 5: Solve for x
    x = 3,977,254.32/1,966.55
  6. Step 6: Final answer
    x = 2,022.46

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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.