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Finding the Fourth Proportional to 2,294.88, 3,165.32 and 1,411.17

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Solution

The fourth proportional to 2,294.88, 3,165.32 and 1,411.17 is: 1,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.88 : 3,165.32 = 1,411.17 : x
  2. Step 2: Convert to fraction form
    2,294.88/3,165.32 = 1,411.17/x
  3. Step 3: Cross multiply
    2,294.88x = 3,165.32 × 1,411.17
  4. Step 4: Simplify right side
    2,294.88x = 4,466,804.62
  5. Step 5: Solve for x
    x = 4,466,804.62/2,294.88
  6. Step 6: Final answer
    x = 1,946.42

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1.5x scale

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.