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Finding the Fourth Proportional to 1,836, 2,754 and 1,056

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Solution

The fourth proportional to 1,836, 2,754 and 1,056 is: 1,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836 : 2,754 = 1,056 : x
  2. Step 2: Convert to fraction form
    1,836/2,754 = 1,056/x
  3. Step 3: Cross multiply
    1,836x = 2,754 × 1,056
  4. Step 4: Simplify right side
    1,836x = 2,908,224
  5. Step 5: Solve for x
    x = 2,908,224/1,836
  6. Step 6: Final answer
    x = 1,584

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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.