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Finding the Fourth Proportional to 2,615.86, 3,923.36 and 972.02

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Solution

The fourth proportional to 2,615.86, 3,923.36 and 972.02 is: 1,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.86 : 3,923.36 = 972.02 : x
  2. Step 2: Convert to fraction form
    2,615.86/3,923.36 = 972.02/x
  3. Step 3: Cross multiply
    2,615.86x = 3,923.36 × 972.02
  4. Step 4: Simplify right side
    2,615.86x = 3,813,592.98
  5. Step 5: Solve for x
    x = 3,813,592.98/2,615.86
  6. Step 6: Final answer
    x = 1,457.87

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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.