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Finding the Fourth Proportional to 2,988, 4,124.08 and 1,884.64

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Solution

The fourth proportional to 2,988, 4,124.08 and 1,884.64 is: 2,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988 : 4,124.08 = 1,884.64 : x
  2. Step 2: Convert to fraction form
    2,988/4,124.08 = 1,884.64/x
  3. Step 3: Cross multiply
    2,988x = 4,124.08 × 1,884.64
  4. Step 4: Simplify right side
    2,988x = 7,772,406.13
  5. Step 5: Solve for x
    x = 7,772,406.13/2,988
  6. Step 6: Final answer
    x = 2,601.21

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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.