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Finding the Fourth Proportional to 2,596.56, 3,582.72 and 1,534.26

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Solution

The fourth proportional to 2,596.56, 3,582.72 and 1,534.26 is: 2,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.56 : 3,582.72 = 1,534.26 : x
  2. Step 2: Convert to fraction form
    2,596.56/3,582.72 = 1,534.26/x
  3. Step 3: Cross multiply
    2,596.56x = 3,582.72 × 1,534.26
  4. Step 4: Simplify right side
    2,596.56x = 5,496,823.99
  5. Step 5: Solve for x
    x = 5,496,823.99/2,596.56
  6. Step 6: Final answer
    x = 2,116.96

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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.