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Finding the Fourth Proportional to 2,350.32, 3,525.47 and 706.99

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Solution

The fourth proportional to 2,350.32, 3,525.47 and 706.99 is: 1,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.32 : 3,525.47 = 706.99 : x
  2. Step 2: Convert to fraction form
    2,350.32/3,525.47 = 706.99/x
  3. Step 3: Cross multiply
    2,350.32x = 3,525.47 × 706.99
  4. Step 4: Simplify right side
    2,350.32x = 2,492,472.04
  5. Step 5: Solve for x
    x = 2,492,472.04/2,350.32
  6. Step 6: Final answer
    x = 1,060.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.