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Finding the Fourth Proportional to 1,665.60, 2,498.40 and 1,298.40

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Solution

The fourth proportional to 1,665.60, 2,498.40 and 1,298.40 is: 1,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.60 : 2,498.40 = 1,298.40 : x
  2. Step 2: Convert to fraction form
    1,665.60/2,498.40 = 1,298.40/x
  3. Step 3: Cross multiply
    1,665.60x = 2,498.40 × 1,298.40
  4. Step 4: Simplify right side
    1,665.60x = 3,243,922.56
  5. Step 5: Solve for x
    x = 3,243,922.56/1,665.60
  6. Step 6: Final answer
    x = 1,947.60

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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.