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Finding the Fourth Proportional to 2,940.48, 4,058.64 and 1,762.47

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Solution

The fourth proportional to 2,940.48, 4,058.64 and 1,762.47 is: 2,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.48 : 4,058.64 = 1,762.47 : x
  2. Step 2: Convert to fraction form
    2,940.48/4,058.64 = 1,762.47/x
  3. Step 3: Cross multiply
    2,940.48x = 4,058.64 × 1,762.47
  4. Step 4: Simplify right side
    2,940.48x = 7,153,231.24
  5. Step 5: Solve for x
    x = 7,153,231.24/2,940.48
  6. Step 6: Final answer
    x = 2,432.67

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1.5x scale

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.