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Finding the Fourth Proportional to 2,558.54, 3,530.30 and 1,564.06

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Solution

The fourth proportional to 2,558.54, 3,530.30 and 1,564.06 is: 2,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.54 : 3,530.30 = 1,564.06 : x
  2. Step 2: Convert to fraction form
    2,558.54/3,530.30 = 1,564.06/x
  3. Step 3: Cross multiply
    2,558.54x = 3,530.30 × 1,564.06
  4. Step 4: Simplify right side
    2,558.54x = 5,521,601.02
  5. Step 5: Solve for x
    x = 5,521,601.02/2,558.54
  6. Step 6: Final answer
    x = 2,158.11

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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.