Home / 1,704.10-2,558.18-964.30

Finding the Fourth Proportional to 1,704.10, 2,558.18 and 964.30

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Solution

The fourth proportional to 1,704.10, 2,558.18 and 964.30 is: 1,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.10 : 2,558.18 = 964.30 : x
  2. Step 2: Convert to fraction form
    1,704.10/2,558.18 = 964.30/x
  3. Step 3: Cross multiply
    1,704.10x = 2,558.18 × 964.30
  4. Step 4: Simplify right side
    1,704.10x = 2,466,852.97
  5. Step 5: Solve for x
    x = 2,466,852.97/1,704.10
  6. Step 6: Final answer
    x = 1,447.60

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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.