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Finding the Fourth Proportional to 2,562.40, 3,840.05 and 1,464.45

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Solution

The fourth proportional to 2,562.40, 3,840.05 and 1,464.45 is: 2,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.40 : 3,840.05 = 1,464.45 : x
  2. Step 2: Convert to fraction form
    2,562.40/3,840.05 = 1,464.45/x
  3. Step 3: Cross multiply
    2,562.40x = 3,840.05 × 1,464.45
  4. Step 4: Simplify right side
    2,562.40x = 5,623,550.48
  5. Step 5: Solve for x
    x = 5,623,550.48/2,562.40
  6. Step 6: Final answer
    x = 2,194.64

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1.5x scale

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.