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Finding the Fourth Proportional to 2,386.72, 3,582 and 926.56

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Solution

The fourth proportional to 2,386.72, 3,582 and 926.56 is: 1,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.72 : 3,582 = 926.56 : x
  2. Step 2: Convert to fraction form
    2,386.72/3,582 = 926.56/x
  3. Step 3: Cross multiply
    2,386.72x = 3,582 × 926.56
  4. Step 4: Simplify right side
    2,386.72x = 3,318,937.92
  5. Step 5: Solve for x
    x = 3,318,937.92/2,386.72
  6. Step 6: Final answer
    x = 1,390.59

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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.