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Finding the Fourth Proportional to 2,349.48, 3,523.19 and 705.71

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Solution

The fourth proportional to 2,349.48, 3,523.19 and 705.71 is: 1,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.48 : 3,523.19 = 705.71 : x
  2. Step 2: Convert to fraction form
    2,349.48/3,523.19 = 705.71/x
  3. Step 3: Cross multiply
    2,349.48x = 3,523.19 × 705.71
  4. Step 4: Simplify right side
    2,349.48x = 2,486,329.27
  5. Step 5: Solve for x
    x = 2,486,329.27/2,349.48
  6. Step 6: Final answer
    x = 1,058.25

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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.