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Finding the Fourth Proportional to 2,482.40, 3,723.60 and 1,607.60

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Solution

The fourth proportional to 2,482.40, 3,723.60 and 1,607.60 is: 2,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.40 : 3,723.60 = 1,607.60 : x
  2. Step 2: Convert to fraction form
    2,482.40/3,723.60 = 1,607.60/x
  3. Step 3: Cross multiply
    2,482.40x = 3,723.60 × 1,607.60
  4. Step 4: Simplify right side
    2,482.40x = 5,986,059.36
  5. Step 5: Solve for x
    x = 5,986,059.36/2,482.40
  6. Step 6: Final answer
    x = 2,411.40

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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.