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Finding the Fourth Proportional to 2,558.51, 3,530.71 and 1,496.24

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Solution

The fourth proportional to 2,558.51, 3,530.71 and 1,496.24 is: 2,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.51 : 3,530.71 = 1,496.24 : x
  2. Step 2: Convert to fraction form
    2,558.51/3,530.71 = 1,496.24/x
  3. Step 3: Cross multiply
    2,558.51x = 3,530.71 × 1,496.24
  4. Step 4: Simplify right side
    2,558.51x = 5,282,789.53
  5. Step 5: Solve for x
    x = 5,282,789.53/2,558.51
  6. Step 6: Final answer
    x = 2,064.79

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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.