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Finding the Fourth Proportional to 2,878.54, 4,317.14 and 1,123.58

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Solution

The fourth proportional to 2,878.54, 4,317.14 and 1,123.58 is: 1,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.54 : 4,317.14 = 1,123.58 : x
  2. Step 2: Convert to fraction form
    2,878.54/4,317.14 = 1,123.58/x
  3. Step 3: Cross multiply
    2,878.54x = 4,317.14 × 1,123.58
  4. Step 4: Simplify right side
    2,878.54x = 4,850,665.76
  5. Step 5: Solve for x
    x = 4,850,665.76/2,878.54
  6. Step 6: Final answer
    x = 1,685.11

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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.