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Finding the Fourth Proportional to 2,143.50, 3,216.36 and 973.86

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Solution

The fourth proportional to 2,143.50, 3,216.36 and 973.86 is: 1,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.50 : 3,216.36 = 973.86 : x
  2. Step 2: Convert to fraction form
    2,143.50/3,216.36 = 973.86/x
  3. Step 3: Cross multiply
    2,143.50x = 3,216.36 × 973.86
  4. Step 4: Simplify right side
    2,143.50x = 3,132,284.35
  5. Step 5: Solve for x
    x = 3,132,284.35/2,143.50
  6. Step 6: Final answer
    x = 1,461.29

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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.