Home / 1,583.40-2,369.70-1,453.80

Finding the Fourth Proportional to 1,583.40, 2,369.70 and 1,453.80

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Solution

The fourth proportional to 1,583.40, 2,369.70 and 1,453.80 is: 2,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.40 : 2,369.70 = 1,453.80 : x
  2. Step 2: Convert to fraction form
    1,583.40/2,369.70 = 1,453.80/x
  3. Step 3: Cross multiply
    1,583.40x = 2,369.70 × 1,453.80
  4. Step 4: Simplify right side
    1,583.40x = 3,445,069.86
  5. Step 5: Solve for x
    x = 3,445,069.86/1,583.40
  6. Step 6: Final answer
    x = 2,175.74

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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.