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Finding the Fourth Proportional to 1,899.86, 2,623.29 and 1,457.06

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Solution

The fourth proportional to 1,899.86, 2,623.29 and 1,457.06 is: 2,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.86 : 2,623.29 = 1,457.06 : x
  2. Step 2: Convert to fraction form
    1,899.86/2,623.29 = 1,457.06/x
  3. Step 3: Cross multiply
    1,899.86x = 2,623.29 × 1,457.06
  4. Step 4: Simplify right side
    1,899.86x = 3,822,290.93
  5. Step 5: Solve for x
    x = 3,822,290.93/1,899.86
  6. Step 6: Final answer
    x = 2,011.88

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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.