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Finding the Fourth Proportional to 2,558.01, 3,529.93 and 1,509.87

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Solution

The fourth proportional to 2,558.01, 3,529.93 and 1,509.87 is: 2,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.01 : 3,529.93 = 1,509.87 : x
  2. Step 2: Convert to fraction form
    2,558.01/3,529.93 = 1,509.87/x
  3. Step 3: Cross multiply
    2,558.01x = 3,529.93 × 1,509.87
  4. Step 4: Simplify right side
    2,558.01x = 5,329,727.86
  5. Step 5: Solve for x
    x = 5,329,727.86/2,558.01
  6. Step 6: Final answer
    x = 2,083.54

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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.