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Finding the Fourth Proportional to 1,696.24, 2,340.24 and 1,106.88

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Solution

The fourth proportional to 1,696.24, 2,340.24 and 1,106.88 is: 1,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.24 : 2,340.24 = 1,106.88 : x
  2. Step 2: Convert to fraction form
    1,696.24/2,340.24 = 1,106.88/x
  3. Step 3: Cross multiply
    1,696.24x = 2,340.24 × 1,106.88
  4. Step 4: Simplify right side
    1,696.24x = 2,590,364.85
  5. Step 5: Solve for x
    x = 2,590,364.85/1,696.24
  6. Step 6: Final answer
    x = 1,527.12

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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.