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Finding the Fourth Proportional to 2,458.84, 3,688.80 and 815.62

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Solution

The fourth proportional to 2,458.84, 3,688.80 and 815.62 is: 1,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.84 : 3,688.80 = 815.62 : x
  2. Step 2: Convert to fraction form
    2,458.84/3,688.80 = 815.62/x
  3. Step 3: Cross multiply
    2,458.84x = 3,688.80 × 815.62
  4. Step 4: Simplify right side
    2,458.84x = 3,008,659.06
  5. Step 5: Solve for x
    x = 3,008,659.06/2,458.84
  6. Step 6: Final answer
    x = 1,223.61

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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.