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Finding the Fourth Proportional to 1,457.79, 2,175.78 and 1,412.43

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Solution

The fourth proportional to 1,457.79, 2,175.78 and 1,412.43 is: 2,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.79 : 2,175.78 = 1,412.43 : x
  2. Step 2: Convert to fraction form
    1,457.79/2,175.78 = 1,412.43/x
  3. Step 3: Cross multiply
    1,457.79x = 2,175.78 × 1,412.43
  4. Step 4: Simplify right side
    1,457.79x = 3,073,136.95
  5. Step 5: Solve for x
    x = 3,073,136.95/1,457.79
  6. Step 6: Final answer
    x = 2,108.08

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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.