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Finding the Fourth Proportional to 1,828.90, 2,743.71 and 530.38

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Solution

The fourth proportional to 1,828.90, 2,743.71 and 530.38 is: 795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.90 : 2,743.71 = 530.38 : x
  2. Step 2: Convert to fraction form
    1,828.90/2,743.71 = 530.38/x
  3. Step 3: Cross multiply
    1,828.90x = 2,743.71 × 530.38
  4. Step 4: Simplify right side
    1,828.90x = 1,455,208.91
  5. Step 5: Solve for x
    x = 1,455,208.91/1,828.90
  6. Step 6: Final answer
    x = 795.67

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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.