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Finding the Fourth Proportional to 1,739.30, 2,400.75 and 1,505.76

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Solution

The fourth proportional to 1,739.30, 2,400.75 and 1,505.76 is: 2,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.30 : 2,400.75 = 1,505.76 : x
  2. Step 2: Convert to fraction form
    1,739.30/2,400.75 = 1,505.76/x
  3. Step 3: Cross multiply
    1,739.30x = 2,400.75 × 1,505.76
  4. Step 4: Simplify right side
    1,739.30x = 3,614,944.32
  5. Step 5: Solve for x
    x = 3,614,944.32/1,739.30
  6. Step 6: Final answer
    x = 2,078.40

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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.