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Finding the Fourth Proportional to 1,653.24, 2,281.86 and 1,064.37

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Solution

The fourth proportional to 1,653.24, 2,281.86 and 1,064.37 is: 1,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.24 : 2,281.86 = 1,064.37 : x
  2. Step 2: Convert to fraction form
    1,653.24/2,281.86 = 1,064.37/x
  3. Step 3: Cross multiply
    1,653.24x = 2,281.86 × 1,064.37
  4. Step 4: Simplify right side
    1,653.24x = 2,428,743.33
  5. Step 5: Solve for x
    x = 2,428,743.33/1,653.24
  6. Step 6: Final answer
    x = 1,469.08

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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.