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Finding the Fourth Proportional to 2,384.43, 3,290.51 and 1,390.38

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Solution

The fourth proportional to 2,384.43, 3,290.51 and 1,390.38 is: 1,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.43 : 3,290.51 = 1,390.38 : x
  2. Step 2: Convert to fraction form
    2,384.43/3,290.51 = 1,390.38/x
  3. Step 3: Cross multiply
    2,384.43x = 3,290.51 × 1,390.38
  4. Step 4: Simplify right side
    2,384.43x = 4,575,052.34
  5. Step 5: Solve for x
    x = 4,575,052.34/2,384.43
  6. Step 6: Final answer
    x = 1,918.72

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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.