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Finding the Fourth Proportional to 2,348.46, 3,519.90 and 1,410.06

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Solution

The fourth proportional to 2,348.46, 3,519.90 and 1,410.06 is: 2,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.46 : 3,519.90 = 1,410.06 : x
  2. Step 2: Convert to fraction form
    2,348.46/3,519.90 = 1,410.06/x
  3. Step 3: Cross multiply
    2,348.46x = 3,519.90 × 1,410.06
  4. Step 4: Simplify right side
    2,348.46x = 4,963,270.19
  5. Step 5: Solve for x
    x = 4,963,270.19/2,348.46
  6. Step 6: Final answer
    x = 2,113.41

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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.