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Finding the Fourth Proportional to 2,044.34, 3,065.24 and 875.10

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Solution

The fourth proportional to 2,044.34, 3,065.24 and 875.10 is: 1,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.34 : 3,065.24 = 875.10 : x
  2. Step 2: Convert to fraction form
    2,044.34/3,065.24 = 875.10/x
  3. Step 3: Cross multiply
    2,044.34x = 3,065.24 × 875.10
  4. Step 4: Simplify right side
    2,044.34x = 2,682,405.21
  5. Step 5: Solve for x
    x = 2,682,405.21/2,044.34
  6. Step 6: Final answer
    x = 1,312.11

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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.