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Finding the Fourth Proportional to 4,259.74, 6,391.58 and 1,920.40

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Solution

The fourth proportional to 4,259.74, 6,391.58 and 1,920.40 is: 2,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.74 : 6,391.58 = 1,920.40 : x
  2. Step 2: Convert to fraction form
    4,259.74/6,391.58 = 1,920.40/x
  3. Step 3: Cross multiply
    4,259.74x = 6,391.58 × 1,920.40
  4. Step 4: Simplify right side
    4,259.74x = 12,274,390.23
  5. Step 5: Solve for x
    x = 12,274,390.23/4,259.74
  6. Step 6: Final answer
    x = 2,881.49

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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.