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Finding the Fourth Proportional to 1,457.98, 2,181.83 and 910.42

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Solution

The fourth proportional to 1,457.98, 2,181.83 and 910.42 is: 1,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.98 : 2,181.83 = 910.42 : x
  2. Step 2: Convert to fraction form
    1,457.98/2,181.83 = 910.42/x
  3. Step 3: Cross multiply
    1,457.98x = 2,181.83 × 910.42
  4. Step 4: Simplify right side
    1,457.98x = 1,986,381.67
  5. Step 5: Solve for x
    x = 1,986,381.67/1,457.98
  6. Step 6: Final answer
    x = 1,362.42

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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.