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Finding the Fourth Proportional to 4,403.78, 6,606.65 and 1,482

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Solution

The fourth proportional to 4,403.78, 6,606.65 and 1,482 is: 2,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403.78 : 6,606.65 = 1,482 : x
  2. Step 2: Convert to fraction form
    4,403.78/6,606.65 = 1,482/x
  3. Step 3: Cross multiply
    4,403.78x = 6,606.65 × 1,482
  4. Step 4: Simplify right side
    4,403.78x = 9,791,059.01
  5. Step 5: Solve for x
    x = 9,791,059.01/4,403.78
  6. Step 6: Final answer
    x = 2,223.33

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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.