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Finding the Fourth Proportional to 1,483.78, 2,047.28 and 886.16

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Solution

The fourth proportional to 1,483.78, 2,047.28 and 886.16 is: 1,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.78 : 2,047.28 = 886.16 : x
  2. Step 2: Convert to fraction form
    1,483.78/2,047.28 = 886.16/x
  3. Step 3: Cross multiply
    1,483.78x = 2,047.28 × 886.16
  4. Step 4: Simplify right side
    1,483.78x = 1,814,226.43
  5. Step 5: Solve for x
    x = 1,814,226.43/1,483.78
  6. Step 6: Final answer
    x = 1,222.71

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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.