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Finding the Fourth Proportional to 2,424, 3,346.08 and 1,598.40

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Solution

The fourth proportional to 2,424, 3,346.08 and 1,598.40 is: 2,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424 : 3,346.08 = 1,598.40 : x
  2. Step 2: Convert to fraction form
    2,424/3,346.08 = 1,598.40/x
  3. Step 3: Cross multiply
    2,424x = 3,346.08 × 1,598.40
  4. Step 4: Simplify right side
    2,424x = 5,348,374.27
  5. Step 5: Solve for x
    x = 5,348,374.27/2,424
  6. Step 6: Final answer
    x = 2,206.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.