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Finding the Fourth Proportional to 2,478.33, 3,420 and 1,483.65

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Solution

The fourth proportional to 2,478.33, 3,420 and 1,483.65 is: 2,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.33 : 3,420 = 1,483.65 : x
  2. Step 2: Convert to fraction form
    2,478.33/3,420 = 1,483.65/x
  3. Step 3: Cross multiply
    2,478.33x = 3,420 × 1,483.65
  4. Step 4: Simplify right side
    2,478.33x = 5,074,083
  5. Step 5: Solve for x
    x = 5,074,083/2,478.33
  6. Step 6: Final answer
    x = 2,047.38

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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.