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Finding the Fourth Proportional to 2,023.65, 3,031.22 and 928.94

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Solution

The fourth proportional to 2,023.65, 3,031.22 and 928.94 is: 1,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.65 : 3,031.22 = 928.94 : x
  2. Step 2: Convert to fraction form
    2,023.65/3,031.22 = 928.94/x
  3. Step 3: Cross multiply
    2,023.65x = 3,031.22 × 928.94
  4. Step 4: Simplify right side
    2,023.65x = 2,815,808.67
  5. Step 5: Solve for x
    x = 2,815,808.67/2,023.65
  6. Step 6: Final answer
    x = 1,391.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.