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Finding the Fourth Proportional to 1,506.84, 2,253.78 and 1,341.24

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Solution

The fourth proportional to 1,506.84, 2,253.78 and 1,341.24 is: 2,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.84 : 2,253.78 = 1,341.24 : x
  2. Step 2: Convert to fraction form
    1,506.84/2,253.78 = 1,341.24/x
  3. Step 3: Cross multiply
    1,506.84x = 2,253.78 × 1,341.24
  4. Step 4: Simplify right side
    1,506.84x = 3,022,859.89
  5. Step 5: Solve for x
    x = 3,022,859.89/1,506.84
  6. Step 6: Final answer
    x = 2,006.09

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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.