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Finding the Fourth Proportional to 3,130.64, 4,320.29 and 1,733.39

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Solution

The fourth proportional to 3,130.64, 4,320.29 and 1,733.39 is: 2,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.64 : 4,320.29 = 1,733.39 : x
  2. Step 2: Convert to fraction form
    3,130.64/4,320.29 = 1,733.39/x
  3. Step 3: Cross multiply
    3,130.64x = 4,320.29 × 1,733.39
  4. Step 4: Simplify right side
    3,130.64x = 7,488,749.62
  5. Step 5: Solve for x
    x = 7,488,749.62/3,130.64
  6. Step 6: Final answer
    x = 2,392.08

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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.