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Finding the Fourth Proportional to 1,571.96, 2,346.44 and 1,457.74

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Solution

The fourth proportional to 1,571.96, 2,346.44 and 1,457.74 is: 2,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.96 : 2,346.44 = 1,457.74 : x
  2. Step 2: Convert to fraction form
    1,571.96/2,346.44 = 1,457.74/x
  3. Step 3: Cross multiply
    1,571.96x = 2,346.44 × 1,457.74
  4. Step 4: Simplify right side
    1,571.96x = 3,420,499.45
  5. Step 5: Solve for x
    x = 3,420,499.45/1,571.96
  6. Step 6: Final answer
    x = 2,175.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.