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Finding the Fourth Proportional to 2,303.52, 3,453.34 and 1,070.30

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Solution

The fourth proportional to 2,303.52, 3,453.34 and 1,070.30 is: 1,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.52 : 3,453.34 = 1,070.30 : x
  2. Step 2: Convert to fraction form
    2,303.52/3,453.34 = 1,070.30/x
  3. Step 3: Cross multiply
    2,303.52x = 3,453.34 × 1,070.30
  4. Step 4: Simplify right side
    2,303.52x = 3,696,109.80
  5. Step 5: Solve for x
    x = 3,696,109.80/2,303.52
  6. Step 6: Final answer
    x = 1,604.55

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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.