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Finding the Fourth Proportional to 2,596.41, 3,582.99 and 1,417.46

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Solution

The fourth proportional to 2,596.41, 3,582.99 and 1,417.46 is: 1,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.41 : 3,582.99 = 1,417.46 : x
  2. Step 2: Convert to fraction form
    2,596.41/3,582.99 = 1,417.46/x
  3. Step 3: Cross multiply
    2,596.41x = 3,582.99 × 1,417.46
  4. Step 4: Simplify right side
    2,596.41x = 5,078,727.09
  5. Step 5: Solve for x
    x = 5,078,727.09/2,596.41
  6. Step 6: Final answer
    x = 1,956.06

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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.