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Finding the Fourth Proportional to 2,938.53, 4,055.43 and 1,612.49

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Solution

The fourth proportional to 2,938.53, 4,055.43 and 1,612.49 is: 2,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.53 : 4,055.43 = 1,612.49 : x
  2. Step 2: Convert to fraction form
    2,938.53/4,055.43 = 1,612.49/x
  3. Step 3: Cross multiply
    2,938.53x = 4,055.43 × 1,612.49
  4. Step 4: Simplify right side
    2,938.53x = 6,539,332.26
  5. Step 5: Solve for x
    x = 6,539,332.26/2,938.53
  6. Step 6: Final answer
    x = 2,225.38

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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.