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Finding the Fourth Proportional to 2,341.58, 3,231.78 and 1,457.78

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Solution

The fourth proportional to 2,341.58, 3,231.78 and 1,457.78 is: 2,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.58 : 3,231.78 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    2,341.58/3,231.78 = 1,457.78/x
  3. Step 3: Cross multiply
    2,341.58x = 3,231.78 × 1,457.78
  4. Step 4: Simplify right side
    2,341.58x = 4,711,224.25
  5. Step 5: Solve for x
    x = 4,711,224.25/2,341.58
  6. Step 6: Final answer
    x = 2,011.99

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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.