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Finding the Fourth Proportional to 2,392.64, 3,567.85 and 2,101.34

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Solution

The fourth proportional to 2,392.64, 3,567.85 and 2,101.34 is: 3,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.64 : 3,567.85 = 2,101.34 : x
  2. Step 2: Convert to fraction form
    2,392.64/3,567.85 = 2,101.34/x
  3. Step 3: Cross multiply
    2,392.64x = 3,567.85 × 2,101.34
  4. Step 4: Simplify right side
    2,392.64x = 7,497,269.59
  5. Step 5: Solve for x
    x = 7,497,269.59/2,392.64
  6. Step 6: Final answer
    x = 3,133.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.