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Finding the Fourth Proportional to 2,384.34, 3,572.43 and 1,457.04

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Solution

The fourth proportional to 2,384.34, 3,572.43 and 1,457.04 is: 2,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.34 : 3,572.43 = 1,457.04 : x
  2. Step 2: Convert to fraction form
    2,384.34/3,572.43 = 1,457.04/x
  3. Step 3: Cross multiply
    2,384.34x = 3,572.43 × 1,457.04
  4. Step 4: Simplify right side
    2,384.34x = 5,205,173.41
  5. Step 5: Solve for x
    x = 5,205,173.41/2,384.34
  6. Step 6: Final answer
    x = 2,183.07

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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.