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Finding the Fourth Proportional to 2,349.09, 3,523.63 and 705.64

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Solution

The fourth proportional to 2,349.09, 3,523.63 and 705.64 is: 1,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.09 : 3,523.63 = 705.64 : x
  2. Step 2: Convert to fraction form
    2,349.09/3,523.63 = 705.64/x
  3. Step 3: Cross multiply
    2,349.09x = 3,523.63 × 705.64
  4. Step 4: Simplify right side
    2,349.09x = 2,486,403.70
  5. Step 5: Solve for x
    x = 2,486,403.70/2,349.09
  6. Step 6: Final answer
    x = 1,058.45

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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.