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Finding the Fourth Proportional to 2,294.85, 3,166.91 and 1,300.32

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Solution

The fourth proportional to 2,294.85, 3,166.91 and 1,300.32 is: 1,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.85 : 3,166.91 = 1,300.32 : x
  2. Step 2: Convert to fraction form
    2,294.85/3,166.91 = 1,300.32/x
  3. Step 3: Cross multiply
    2,294.85x = 3,166.91 × 1,300.32
  4. Step 4: Simplify right side
    2,294.85x = 4,117,996.41
  5. Step 5: Solve for x
    x = 4,117,996.41/2,294.85
  6. Step 6: Final answer
    x = 1,794.45

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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.