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Finding the Fourth Proportional to 1,781.01, 2,674.76 and 1,457.01

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Solution

The fourth proportional to 1,781.01, 2,674.76 and 1,457.01 is: 2,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.01 : 2,674.76 = 1,457.01 : x
  2. Step 2: Convert to fraction form
    1,781.01/2,674.76 = 1,457.01/x
  3. Step 3: Cross multiply
    1,781.01x = 2,674.76 × 1,457.01
  4. Step 4: Simplify right side
    1,781.01x = 3,897,144.78
  5. Step 5: Solve for x
    x = 3,897,144.78/1,781.01
  6. Step 6: Final answer
    x = 2,188.17

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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.