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Finding the Fourth Proportional to 1,828.76, 2,743.50 and 530.24

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Solution

The fourth proportional to 1,828.76, 2,743.50 and 530.24 is: 795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.76 : 2,743.50 = 530.24 : x
  2. Step 2: Convert to fraction form
    1,828.76/2,743.50 = 530.24/x
  3. Step 3: Cross multiply
    1,828.76x = 2,743.50 × 530.24
  4. Step 4: Simplify right side
    1,828.76x = 1,454,713.44
  5. Step 5: Solve for x
    x = 1,454,713.44/1,828.76
  6. Step 6: Final answer
    x = 795.46

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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.