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Finding the Fourth Proportional to 2,024, 2,798.88 and 1,932.32

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Solution

The fourth proportional to 2,024, 2,798.88 and 1,932.32 is: 2,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 2,798.88 = 1,932.32 : x
  2. Step 2: Convert to fraction form
    2,024/2,798.88 = 1,932.32/x
  3. Step 3: Cross multiply
    2,024x = 2,798.88 × 1,932.32
  4. Step 4: Simplify right side
    2,024x = 5,408,331.80
  5. Step 5: Solve for x
    x = 5,408,331.80/2,024
  6. Step 6: Final answer
    x = 2,672.10

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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.