Home / 2,916.42-4,023.76-1,657.38

Finding the Fourth Proportional to 2,916.42, 4,023.76 and 1,657.38

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Solution

The fourth proportional to 2,916.42, 4,023.76 and 1,657.38 is: 2,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.42 : 4,023.76 = 1,657.38 : x
  2. Step 2: Convert to fraction form
    2,916.42/4,023.76 = 1,657.38/x
  3. Step 3: Cross multiply
    2,916.42x = 4,023.76 × 1,657.38
  4. Step 4: Simplify right side
    2,916.42x = 6,668,899.35
  5. Step 5: Solve for x
    x = 6,668,899.35/2,916.42
  6. Step 6: Final answer
    x = 2,286.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.