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Finding the Fourth Proportional to 2,307.88, 3,455.67 and 1,209.95

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Solution

The fourth proportional to 2,307.88, 3,455.67 and 1,209.95 is: 1,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.88 : 3,455.67 = 1,209.95 : x
  2. Step 2: Convert to fraction form
    2,307.88/3,455.67 = 1,209.95/x
  3. Step 3: Cross multiply
    2,307.88x = 3,455.67 × 1,209.95
  4. Step 4: Simplify right side
    2,307.88x = 4,181,170.64
  5. Step 5: Solve for x
    x = 4,181,170.64/2,307.88
  6. Step 6: Final answer
    x = 1,811.70

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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.