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Finding the Fourth Proportional to 2,032.46, 3,045.94 and 934.40

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Solution

The fourth proportional to 2,032.46, 3,045.94 and 934.40 is: 1,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.46 : 3,045.94 = 934.40 : x
  2. Step 2: Convert to fraction form
    2,032.46/3,045.94 = 934.40/x
  3. Step 3: Cross multiply
    2,032.46x = 3,045.94 × 934.40
  4. Step 4: Simplify right side
    2,032.46x = 2,846,126.34
  5. Step 5: Solve for x
    x = 2,846,126.34/2,032.46
  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.