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Finding the Fourth Proportional to 3,025.50, 4,538.31 and 973.50

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Solution

The fourth proportional to 3,025.50, 4,538.31 and 973.50 is: 1,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.50 : 4,538.31 = 973.50 : x
  2. Step 2: Convert to fraction form
    3,025.50/4,538.31 = 973.50/x
  3. Step 3: Cross multiply
    3,025.50x = 4,538.31 × 973.50
  4. Step 4: Simplify right side
    3,025.50x = 4,418,044.79
  5. Step 5: Solve for x
    x = 4,418,044.79/3,025.50
  6. Step 6: Final answer
    x = 1,460.27

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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.