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Finding the Fourth Proportional to 1,962.60, 2,709.24 and 1,298.28

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Solution

The fourth proportional to 1,962.60, 2,709.24 and 1,298.28 is: 1,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.60 : 2,709.24 = 1,298.28 : x
  2. Step 2: Convert to fraction form
    1,962.60/2,709.24 = 1,298.28/x
  3. Step 3: Cross multiply
    1,962.60x = 2,709.24 × 1,298.28
  4. Step 4: Simplify right side
    1,962.60x = 3,517,352.11
  5. Step 5: Solve for x
    x = 3,517,352.11/1,962.60
  6. Step 6: Final answer
    x = 1,792.19

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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.