Home / 1,586.45-2,382.42-973.76

Finding the Fourth Proportional to 1,586.45, 2,382.42 and 973.76

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Solution

The fourth proportional to 1,586.45, 2,382.42 and 973.76 is: 1,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.45 : 2,382.42 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,586.45/2,382.42 = 973.76/x
  3. Step 3: Cross multiply
    1,586.45x = 2,382.42 × 973.76
  4. Step 4: Simplify right side
    1,586.45x = 2,319,893.39
  5. Step 5: Solve for x
    x = 2,319,893.39/1,586.45
  6. Step 6: Final answer
    x = 1,462.32

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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.