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Finding the Fourth Proportional to 2,348.65, 3,523.38 and 705.01

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Solution

The fourth proportional to 2,348.65, 3,523.38 and 705.01 is: 1,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.65 : 3,523.38 = 705.01 : x
  2. Step 2: Convert to fraction form
    2,348.65/3,523.38 = 705.01/x
  3. Step 3: Cross multiply
    2,348.65x = 3,523.38 × 705.01
  4. Step 4: Simplify right side
    2,348.65x = 2,484,018.13
  5. Step 5: Solve for x
    x = 2,484,018.13/2,348.65
  6. Step 6: Final answer
    x = 1,057.64

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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.