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Finding the Fourth Proportional to 1,555.89, 2,142.90 and 1,293.45

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Solution

The fourth proportional to 1,555.89, 2,142.90 and 1,293.45 is: 1,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.89 : 2,142.90 = 1,293.45 : x
  2. Step 2: Convert to fraction form
    1,555.89/2,142.90 = 1,293.45/x
  3. Step 3: Cross multiply
    1,555.89x = 2,142.90 × 1,293.45
  4. Step 4: Simplify right side
    1,555.89x = 2,771,734.01
  5. Step 5: Solve for x
    x = 2,771,734.01/1,555.89
  6. Step 6: Final answer
    x = 1,781.45

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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.