Home / 1,584.34-2,370.57-1,501

Finding the Fourth Proportional to 1,584.34, 2,370.57 and 1,501

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Solution

The fourth proportional to 1,584.34, 2,370.57 and 1,501 is: 2,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.34 : 2,370.57 = 1,501 : x
  2. Step 2: Convert to fraction form
    1,584.34/2,370.57 = 1,501/x
  3. Step 3: Cross multiply
    1,584.34x = 2,370.57 × 1,501
  4. Step 4: Simplify right side
    1,584.34x = 3,558,225.57
  5. Step 5: Solve for x
    x = 3,558,225.57/1,584.34
  6. Step 6: Final answer
    x = 2,245.87

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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.