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Finding the Fourth Proportional to 2,364.92, 3,264.92 and 1,526.84

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Solution

The fourth proportional to 2,364.92, 3,264.92 and 1,526.84 is: 2,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.92 : 3,264.92 = 1,526.84 : x
  2. Step 2: Convert to fraction form
    2,364.92/3,264.92 = 1,526.84/x
  3. Step 3: Cross multiply
    2,364.92x = 3,264.92 × 1,526.84
  4. Step 4: Simplify right side
    2,364.92x = 4,985,022.43
  5. Step 5: Solve for x
    x = 4,985,022.43/2,364.92
  6. Step 6: Final answer
    x = 2,107.91

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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.