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Finding the Fourth Proportional to 1,578.96, 2,367.72 and 929.88

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Solution

The fourth proportional to 1,578.96, 2,367.72 and 929.88 is: 1,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.96 : 2,367.72 = 929.88 : x
  2. Step 2: Convert to fraction form
    1,578.96/2,367.72 = 929.88/x
  3. Step 3: Cross multiply
    1,578.96x = 2,367.72 × 929.88
  4. Step 4: Simplify right side
    1,578.96x = 2,201,695.47
  5. Step 5: Solve for x
    x = 2,201,695.47/1,578.96
  6. Step 6: Final answer
    x = 1,394.40

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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.