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Finding the Fourth Proportional to 2,592.55, 3,575.91 and 2,506.84

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Solution

The fourth proportional to 2,592.55, 3,575.91 and 2,506.84 is: 3,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.55 : 3,575.91 = 2,506.84 : x
  2. Step 2: Convert to fraction form
    2,592.55/3,575.91 = 2,506.84/x
  3. Step 3: Cross multiply
    2,592.55x = 3,575.91 × 2,506.84
  4. Step 4: Simplify right side
    2,592.55x = 8,964,234.22
  5. Step 5: Solve for x
    x = 8,964,234.22/2,592.55
  6. Step 6: Final answer
    x = 3,457.69

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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.