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Finding the Fourth Proportional to 2,348.42, 3,523.28 and 705.08

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Solution

The fourth proportional to 2,348.42, 3,523.28 and 705.08 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.42 : 3,523.28 = 705.08 : x
  2. Step 2: Convert to fraction form
    2,348.42/3,523.28 = 705.08/x
  3. Step 3: Cross multiply
    2,348.42x = 3,523.28 × 705.08
  4. Step 4: Simplify right side
    2,348.42x = 2,484,173.12
  5. Step 5: Solve for x
    x = 2,484,173.12/2,348.42
  6. Step 6: Final answer
    x = 1,057.81

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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.