Home / 1,459.46-2,184.91-964.96

Finding the Fourth Proportional to 1,459.46, 2,184.91 and 964.96

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Solution

The fourth proportional to 1,459.46, 2,184.91 and 964.96 is: 1,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.46 : 2,184.91 = 964.96 : x
  2. Step 2: Convert to fraction form
    1,459.46/2,184.91 = 964.96/x
  3. Step 3: Cross multiply
    1,459.46x = 2,184.91 × 964.96
  4. Step 4: Simplify right side
    1,459.46x = 2,108,342.88
  5. Step 5: Solve for x
    x = 2,108,342.88/1,459.46
  6. Step 6: Final answer
    x = 1,444.60

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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.