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Finding the Fourth Proportional to 1,552.63, 2,142.71 and 854.02

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Solution

The fourth proportional to 1,552.63, 2,142.71 and 854.02 is: 1,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.63 : 2,142.71 = 854.02 : x
  2. Step 2: Convert to fraction form
    1,552.63/2,142.71 = 854.02/x
  3. Step 3: Cross multiply
    1,552.63x = 2,142.71 × 854.02
  4. Step 4: Simplify right side
    1,552.63x = 1,829,917.19
  5. Step 5: Solve for x
    x = 1,829,917.19/1,552.63
  6. Step 6: Final answer
    x = 1,178.59

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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.