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Finding the Fourth Proportional to 2,752.84, 4,129.17 and 1,828.18

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Solution

The fourth proportional to 2,752.84, 4,129.17 and 1,828.18 is: 2,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.84 : 4,129.17 = 1,828.18 : x
  2. Step 2: Convert to fraction form
    2,752.84/4,129.17 = 1,828.18/x
  3. Step 3: Cross multiply
    2,752.84x = 4,129.17 × 1,828.18
  4. Step 4: Simplify right side
    2,752.84x = 7,548,866.01
  5. Step 5: Solve for x
    x = 7,548,866.01/2,752.84
  6. Step 6: Final answer
    x = 2,742.21

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1.5x scale

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.