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Finding the Fourth Proportional to 1,739.50, 2,400.51 and 953.58

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Solution

The fourth proportional to 1,739.50, 2,400.51 and 953.58 is: 1,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.50 : 2,400.51 = 953.58 : x
  2. Step 2: Convert to fraction form
    1,739.50/2,400.51 = 953.58/x
  3. Step 3: Cross multiply
    1,739.50x = 2,400.51 × 953.58
  4. Step 4: Simplify right side
    1,739.50x = 2,289,078.33
  5. Step 5: Solve for x
    x = 2,289,078.33/1,739.50
  6. Step 6: Final answer
    x = 1,315.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.