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Finding the Fourth Proportional to 2,852.00, 4,278.16 and 904.36

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Solution

The fourth proportional to 2,852.00, 4,278.16 and 904.36 is: 1,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.00 : 4,278.16 = 904.36 : x
  2. Step 2: Convert to fraction form
    2,852.00/4,278.16 = 904.36/x
  3. Step 3: Cross multiply
    2,852.00x = 4,278.16 × 904.36
  4. Step 4: Simplify right side
    2,852.00x = 3,868,981.56
  5. Step 5: Solve for x
    x = 3,868,981.56/2,852.00
  6. Step 6: Final answer
    x = 1,356.58

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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.