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Finding the Fourth Proportional to 1,493.84, 2,238.06 and 1,406

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Solution

The fourth proportional to 1,493.84, 2,238.06 and 1,406 is: 2,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.84 : 2,238.06 = 1,406 : x
  2. Step 2: Convert to fraction form
    1,493.84/2,238.06 = 1,406/x
  3. Step 3: Cross multiply
    1,493.84x = 2,238.06 × 1,406
  4. Step 4: Simplify right side
    1,493.84x = 3,146,712.36
  5. Step 5: Solve for x
    x = 3,146,712.36/1,493.84
  6. Step 6: Final answer
    x = 2,106.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.