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Finding the Fourth Proportional to 1,761.94, 2,430.26 and 1,704.02

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Solution

The fourth proportional to 1,761.94, 2,430.26 and 1,704.02 is: 2,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.94 : 2,430.26 = 1,704.02 : x
  2. Step 2: Convert to fraction form
    1,761.94/2,430.26 = 1,704.02/x
  3. Step 3: Cross multiply
    1,761.94x = 2,430.26 × 1,704.02
  4. Step 4: Simplify right side
    1,761.94x = 4,141,209.20
  5. Step 5: Solve for x
    x = 4,141,209.20/1,761.94
  6. Step 6: Final answer
    x = 2,350.37

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1.5x scale

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.