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Finding the Fourth Proportional to 2,507.39, 3,758.93 and 1,209.77

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Solution

The fourth proportional to 2,507.39, 3,758.93 and 1,209.77 is: 1,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.39 : 3,758.93 = 1,209.77 : x
  2. Step 2: Convert to fraction form
    2,507.39/3,758.93 = 1,209.77/x
  3. Step 3: Cross multiply
    2,507.39x = 3,758.93 × 1,209.77
  4. Step 4: Simplify right side
    2,507.39x = 4,547,434.70
  5. Step 5: Solve for x
    x = 4,547,434.70/2,507.39
  6. Step 6: Final answer
    x = 1,813.61

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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.