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Finding the Fourth Proportional to 2,442, 3,364.02 and 1,851.96

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Solution

The fourth proportional to 2,442, 3,364.02 and 1,851.96 is: 2,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442 : 3,364.02 = 1,851.96 : x
  2. Step 2: Convert to fraction form
    2,442/3,364.02 = 1,851.96/x
  3. Step 3: Cross multiply
    2,442x = 3,364.02 × 1,851.96
  4. Step 4: Simplify right side
    2,442x = 6,230,030.48
  5. Step 5: Solve for x
    x = 6,230,030.48/2,442
  6. Step 6: Final answer
    x = 2,551.20

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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.