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Finding the Fourth Proportional to 2,259.94, 3,390.72 and 1,642.60

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Solution

The fourth proportional to 2,259.94, 3,390.72 and 1,642.60 is: 2,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.94 : 3,390.72 = 1,642.60 : x
  2. Step 2: Convert to fraction form
    2,259.94/3,390.72 = 1,642.60/x
  3. Step 3: Cross multiply
    2,259.94x = 3,390.72 × 1,642.60
  4. Step 4: Simplify right side
    2,259.94x = 5,569,596.67
  5. Step 5: Solve for x
    x = 5,569,596.67/2,259.94
  6. Step 6: Final answer
    x = 2,464.49

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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.