Home / 1,901.46-2,852.16-1,589.82

Finding the Fourth Proportional to 1,901.46, 2,852.16 and 1,589.82

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Solution

The fourth proportional to 1,901.46, 2,852.16 and 1,589.82 is: 2,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.46 : 2,852.16 = 1,589.82 : x
  2. Step 2: Convert to fraction form
    1,901.46/2,852.16 = 1,589.82/x
  3. Step 3: Cross multiply
    1,901.46x = 2,852.16 × 1,589.82
  4. Step 4: Simplify right side
    1,901.46x = 4,534,421.01
  5. Step 5: Solve for x
    x = 4,534,421.01/1,901.46
  6. Step 6: Final answer
    x = 2,384.70

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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.