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Finding the Fourth Proportional to 2,307.52, 3,454.80 and 2,074.24

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Solution

The fourth proportional to 2,307.52, 3,454.80 and 2,074.24 is: 3,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.52 : 3,454.80 = 2,074.24 : x
  2. Step 2: Convert to fraction form
    2,307.52/3,454.80 = 2,074.24/x
  3. Step 3: Cross multiply
    2,307.52x = 3,454.80 × 2,074.24
  4. Step 4: Simplify right side
    2,307.52x = 7,166,084.35
  5. Step 5: Solve for x
    x = 7,166,084.35/2,307.52
  6. Step 6: Final answer
    x = 3,105.54

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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.