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Finding the Fourth Proportional to 1,886.55, 2,832.60 and 1,055.24

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Solution

The fourth proportional to 1,886.55, 2,832.60 and 1,055.24 is: 1,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.55 : 2,832.60 = 1,055.24 : x
  2. Step 2: Convert to fraction form
    1,886.55/2,832.60 = 1,055.24/x
  3. Step 3: Cross multiply
    1,886.55x = 2,832.60 × 1,055.24
  4. Step 4: Simplify right side
    1,886.55x = 2,989,061.79
  5. Step 5: Solve for x
    x = 2,989,061.79/1,886.55
  6. Step 6: Final answer
    x = 1,584.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.