Home / 1,589.80-2,386.24-1,502.14

Finding the Fourth Proportional to 1,589.80, 2,386.24 and 1,502.14

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Solution

The fourth proportional to 1,589.80, 2,386.24 and 1,502.14 is: 2,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.80 : 2,386.24 = 1,502.14 : x
  2. Step 2: Convert to fraction form
    1,589.80/2,386.24 = 1,502.14/x
  3. Step 3: Cross multiply
    1,589.80x = 2,386.24 × 1,502.14
  4. Step 4: Simplify right side
    1,589.80x = 3,584,466.55
  5. Step 5: Solve for x
    x = 3,584,466.55/1,589.80
  6. Step 6: Final answer
    x = 2,254.67

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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.