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Finding the Fourth Proportional to 1,457.47, 2,194.06 and 1,328.29

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Solution

The fourth proportional to 1,457.47, 2,194.06 and 1,328.29 is: 1,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.47 : 2,194.06 = 1,328.29 : x
  2. Step 2: Convert to fraction form
    1,457.47/2,194.06 = 1,328.29/x
  3. Step 3: Cross multiply
    1,457.47x = 2,194.06 × 1,328.29
  4. Step 4: Simplify right side
    1,457.47x = 2,914,347.96
  5. Step 5: Solve for x
    x = 2,914,347.96/1,457.47
  6. Step 6: Final answer
    x = 1,999.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.