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Finding the Fourth Proportional to 1,586.80, 2,185.28 and 1,552.88

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Solution

The fourth proportional to 1,586.80, 2,185.28 and 1,552.88 is: 2,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.80 : 2,185.28 = 1,552.88 : x
  2. Step 2: Convert to fraction form
    1,586.80/2,185.28 = 1,552.88/x
  3. Step 3: Cross multiply
    1,586.80x = 2,185.28 × 1,552.88
  4. Step 4: Simplify right side
    1,586.80x = 3,393,477.61
  5. Step 5: Solve for x
    x = 3,393,477.61/1,586.80
  6. Step 6: Final answer
    x = 2,138.57

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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.