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Finding the Fourth Proportional to 1,720.48, 2,580.69 and 421.95

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Solution

The fourth proportional to 1,720.48, 2,580.69 and 421.95 is: 632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.48 : 2,580.69 = 421.95 : x
  2. Step 2: Convert to fraction form
    1,720.48/2,580.69 = 421.95/x
  3. Step 3: Cross multiply
    1,720.48x = 2,580.69 × 421.95
  4. Step 4: Simplify right side
    1,720.48x = 1,088,922.15
  5. Step 5: Solve for x
    x = 1,088,922.15/1,720.48
  6. Step 6: Final answer
    x = 632.92

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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.