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Finding the Fourth Proportional to 1,923.84, 2,655.72 and 1,505.34

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Solution

The fourth proportional to 1,923.84, 2,655.72 and 1,505.34 is: 2,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.84 : 2,655.72 = 1,505.34 : x
  2. Step 2: Convert to fraction form
    1,923.84/2,655.72 = 1,505.34/x
  3. Step 3: Cross multiply
    1,923.84x = 2,655.72 × 1,505.34
  4. Step 4: Simplify right side
    1,923.84x = 3,997,761.54
  5. Step 5: Solve for x
    x = 3,997,761.54/1,923.84
  6. Step 6: Final answer
    x = 2,078.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.