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Finding the Fourth Proportional to 1,921.53, 2,881.49 and 604.84

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Solution

The fourth proportional to 1,921.53, 2,881.49 and 604.84 is: 907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.53 : 2,881.49 = 604.84 : x
  2. Step 2: Convert to fraction form
    1,921.53/2,881.49 = 604.84/x
  3. Step 3: Cross multiply
    1,921.53x = 2,881.49 × 604.84
  4. Step 4: Simplify right side
    1,921.53x = 1,742,834.72
  5. Step 5: Solve for x
    x = 1,742,834.72/1,921.53
  6. Step 6: Final answer
    x = 907.00

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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.