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Finding the Fourth Proportional to 1,500.93, 2,072.15 and 1,144.05

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Solution

The fourth proportional to 1,500.93, 2,072.15 and 1,144.05 is: 1,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.93 : 2,072.15 = 1,144.05 : x
  2. Step 2: Convert to fraction form
    1,500.93/2,072.15 = 1,144.05/x
  3. Step 3: Cross multiply
    1,500.93x = 2,072.15 × 1,144.05
  4. Step 4: Simplify right side
    1,500.93x = 2,370,637.49
  5. Step 5: Solve for x
    x = 2,370,637.49/1,500.93
  6. Step 6: Final answer
    x = 1,579.45

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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.