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Finding the Fourth Proportional to 2,881.22, 4,321.30 and 1,007.34

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Solution

The fourth proportional to 2,881.22, 4,321.30 and 1,007.34 is: 1,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.22 : 4,321.30 = 1,007.34 : x
  2. Step 2: Convert to fraction form
    2,881.22/4,321.30 = 1,007.34/x
  3. Step 3: Cross multiply
    2,881.22x = 4,321.30 × 1,007.34
  4. Step 4: Simplify right side
    2,881.22x = 4,353,001.51
  5. Step 5: Solve for x
    x = 4,353,001.51/2,881.22
  6. Step 6: Final answer
    x = 1,510.82

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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.