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Finding the Fourth Proportional to 2,348.49, 3,523.23 and 705.06

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Solution

The fourth proportional to 2,348.49, 3,523.23 and 705.06 is: 1,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.49 : 3,523.23 = 705.06 : x
  2. Step 2: Convert to fraction form
    2,348.49/3,523.23 = 705.06/x
  3. Step 3: Cross multiply
    2,348.49x = 3,523.23 × 705.06
  4. Step 4: Simplify right side
    2,348.49x = 2,484,088.54
  5. Step 5: Solve for x
    x = 2,484,088.54/2,348.49
  6. Step 6: Final answer
    x = 1,057.74

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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.