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Finding the Fourth Proportional to 2,424.84, 3,635.04 and 945.06

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Solution

The fourth proportional to 2,424.84, 3,635.04 and 945.06 is: 1,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.84 : 3,635.04 = 945.06 : x
  2. Step 2: Convert to fraction form
    2,424.84/3,635.04 = 945.06/x
  3. Step 3: Cross multiply
    2,424.84x = 3,635.04 × 945.06
  4. Step 4: Simplify right side
    2,424.84x = 3,435,330.90
  5. Step 5: Solve for x
    x = 3,435,330.90/2,424.84
  6. Step 6: Final answer
    x = 1,416.72

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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.