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Finding the Fourth Proportional to 1,698.08, 2,535.92 and 1,448.60

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Solution

The fourth proportional to 1,698.08, 2,535.92 and 1,448.60 is: 2,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.08 : 2,535.92 = 1,448.60 : x
  2. Step 2: Convert to fraction form
    1,698.08/2,535.92 = 1,448.60/x
  3. Step 3: Cross multiply
    1,698.08x = 2,535.92 × 1,448.60
  4. Step 4: Simplify right side
    1,698.08x = 3,673,533.71
  5. Step 5: Solve for x
    x = 3,673,533.71/1,698.08
  6. Step 6: Final answer
    x = 2,163.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.