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Finding the Fourth Proportional to 2,382.96, 3,574.58 and 1,457.94

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Solution

The fourth proportional to 2,382.96, 3,574.58 and 1,457.94 is: 2,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.96 : 3,574.58 = 1,457.94 : x
  2. Step 2: Convert to fraction form
    2,382.96/3,574.58 = 1,457.94/x
  3. Step 3: Cross multiply
    2,382.96x = 3,574.58 × 1,457.94
  4. Step 4: Simplify right side
    2,382.96x = 5,211,515.88
  5. Step 5: Solve for x
    x = 5,211,515.88/2,382.96
  6. Step 6: Final answer
    x = 2,186.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.