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Finding the Fourth Proportional to 2,303.66, 3,453.80 and 1,070.43

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Solution

The fourth proportional to 2,303.66, 3,453.80 and 1,070.43 is: 1,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.66 : 3,453.80 = 1,070.43 : x
  2. Step 2: Convert to fraction form
    2,303.66/3,453.80 = 1,070.43/x
  3. Step 3: Cross multiply
    2,303.66x = 3,453.80 × 1,070.43
  4. Step 4: Simplify right side
    2,303.66x = 3,697,045.78
  5. Step 5: Solve for x
    x = 3,697,045.78/2,303.66
  6. Step 6: Final answer
    x = 1,604.86

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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.