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Finding the Fourth Proportional to 2,070.39, 3,104.60 and 753.21

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Solution

The fourth proportional to 2,070.39, 3,104.60 and 753.21 is: 1,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.39 : 3,104.60 = 753.21 : x
  2. Step 2: Convert to fraction form
    2,070.39/3,104.60 = 753.21/x
  3. Step 3: Cross multiply
    2,070.39x = 3,104.60 × 753.21
  4. Step 4: Simplify right side
    2,070.39x = 2,338,417.65
  5. Step 5: Solve for x
    x = 2,338,417.65/2,070.39
  6. Step 6: Final answer
    x = 1,129.46

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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.