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Finding the Fourth Proportional to 2,852.11, 4,278.12 and 904.31

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Solution

The fourth proportional to 2,852.11, 4,278.12 and 904.31 is: 1,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.11 : 4,278.12 = 904.31 : x
  2. Step 2: Convert to fraction form
    2,852.11/4,278.12 = 904.31/x
  3. Step 3: Cross multiply
    2,852.11x = 4,278.12 × 904.31
  4. Step 4: Simplify right side
    2,852.11x = 3,868,762.02
  5. Step 5: Solve for x
    x = 3,868,762.02/2,852.11
  6. Step 6: Final answer
    x = 1,356.46

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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.