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Finding the Fourth Proportional to 2,958.63, 4,434.84 and 1,009.32

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Solution

The fourth proportional to 2,958.63, 4,434.84 and 1,009.32 is: 1,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.63 : 4,434.84 = 1,009.32 : x
  2. Step 2: Convert to fraction form
    2,958.63/4,434.84 = 1,009.32/x
  3. Step 3: Cross multiply
    2,958.63x = 4,434.84 × 1,009.32
  4. Step 4: Simplify right side
    2,958.63x = 4,476,172.71
  5. Step 5: Solve for x
    x = 4,476,172.71/2,958.63
  6. Step 6: Final answer
    x = 1,512.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.