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Finding the Fourth Proportional to 2,424, 3,635.98 and 1,602.08

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Solution

The fourth proportional to 2,424, 3,635.98 and 1,602.08 is: 2,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424 : 3,635.98 = 1,602.08 : x
  2. Step 2: Convert to fraction form
    2,424/3,635.98 = 1,602.08/x
  3. Step 3: Cross multiply
    2,424x = 3,635.98 × 1,602.08
  4. Step 4: Simplify right side
    2,424x = 5,825,130.84
  5. Step 5: Solve for x
    x = 5,825,130.84/2,424
  6. Step 6: Final answer
    x = 2,403.11

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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.