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Finding the Fourth Proportional to 2,348.47, 3,523.29 and 705.05

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Solution

The fourth proportional to 2,348.47, 3,523.29 and 705.05 is: 1,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.47 : 3,523.29 = 705.05 : x
  2. Step 2: Convert to fraction form
    2,348.47/3,523.29 = 705.05/x
  3. Step 3: Cross multiply
    2,348.47x = 3,523.29 × 705.05
  4. Step 4: Simplify right side
    2,348.47x = 2,484,095.61
  5. Step 5: Solve for x
    x = 2,484,095.61/2,348.47
  6. Step 6: Final answer
    x = 1,057.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.