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Finding the Fourth Proportional to 2,709.12, 3,738.51 and 1,530.12

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Solution

The fourth proportional to 2,709.12, 3,738.51 and 1,530.12 is: 2,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.12 : 3,738.51 = 1,530.12 : x
  2. Step 2: Convert to fraction form
    2,709.12/3,738.51 = 1,530.12/x
  3. Step 3: Cross multiply
    2,709.12x = 3,738.51 × 1,530.12
  4. Step 4: Simplify right side
    2,709.12x = 5,720,368.92
  5. Step 5: Solve for x
    x = 5,720,368.92/2,709.12
  6. Step 6: Final answer
    x = 2,111.52

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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.