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Finding the Fourth Proportional to 2,032.47, 3,045.93 and 934.41

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Solution

The fourth proportional to 2,032.47, 3,045.93 and 934.41 is: 1,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.47 : 3,045.93 = 934.41 : x
  2. Step 2: Convert to fraction form
    2,032.47/3,045.93 = 934.41/x
  3. Step 3: Cross multiply
    2,032.47x = 3,045.93 × 934.41
  4. Step 4: Simplify right side
    2,032.47x = 2,846,147.45
  5. Step 5: Solve for x
    x = 2,846,147.45/2,032.47
  6. Step 6: Final answer
    x = 1,400.34

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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.