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Finding the Fourth Proportional to 1,653.80, 2,466.77 and 1,538.99

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Solution

The fourth proportional to 1,653.80, 2,466.77 and 1,538.99 is: 2,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.80 : 2,466.77 = 1,538.99 : x
  2. Step 2: Convert to fraction form
    1,653.80/2,466.77 = 1,538.99/x
  3. Step 3: Cross multiply
    1,653.80x = 2,466.77 × 1,538.99
  4. Step 4: Simplify right side
    1,653.80x = 3,796,322.03
  5. Step 5: Solve for x
    x = 3,796,322.03/1,653.80
  6. Step 6: Final answer
    x = 2,295.51

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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.