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Finding the Fourth Proportional to 1,758.24, 2,426.10 and 1,012.24

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Solution

The fourth proportional to 1,758.24, 2,426.10 and 1,012.24 is: 1,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.24 : 2,426.10 = 1,012.24 : x
  2. Step 2: Convert to fraction form
    1,758.24/2,426.10 = 1,012.24/x
  3. Step 3: Cross multiply
    1,758.24x = 2,426.10 × 1,012.24
  4. Step 4: Simplify right side
    1,758.24x = 2,455,795.46
  5. Step 5: Solve for x
    x = 2,455,795.46/1,758.24
  6. Step 6: Final answer
    x = 1,396.74

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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.