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Finding the Fourth Proportional to 2,878.31, 4,317.44 and 904.09

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Solution

The fourth proportional to 2,878.31, 4,317.44 and 904.09 is: 1,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.31 : 4,317.44 = 904.09 : x
  2. Step 2: Convert to fraction form
    2,878.31/4,317.44 = 904.09/x
  3. Step 3: Cross multiply
    2,878.31x = 4,317.44 × 904.09
  4. Step 4: Simplify right side
    2,878.31x = 3,903,332.74
  5. Step 5: Solve for x
    x = 3,903,332.74/2,878.31
  6. Step 6: Final answer
    x = 1,356.12

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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.