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Finding the Fourth Proportional to 1,588.72, 2,192.52 and 999.04

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Solution

The fourth proportional to 1,588.72, 2,192.52 and 999.04 is: 1,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.72 : 2,192.52 = 999.04 : x
  2. Step 2: Convert to fraction form
    1,588.72/2,192.52 = 999.04/x
  3. Step 3: Cross multiply
    1,588.72x = 2,192.52 × 999.04
  4. Step 4: Simplify right side
    1,588.72x = 2,190,415.18
  5. Step 5: Solve for x
    x = 2,190,415.18/1,588.72
  6. Step 6: Final answer
    x = 1,378.73

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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.