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Finding the Fourth Proportional to 2,425.95, 3,639.06 and 782.64

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Solution

The fourth proportional to 2,425.95, 3,639.06 and 782.64 is: 1,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.95 : 3,639.06 = 782.64 : x
  2. Step 2: Convert to fraction form
    2,425.95/3,639.06 = 782.64/x
  3. Step 3: Cross multiply
    2,425.95x = 3,639.06 × 782.64
  4. Step 4: Simplify right side
    2,425.95x = 2,848,073.92
  5. Step 5: Solve for x
    x = 2,848,073.92/2,425.95
  6. Step 6: Final answer
    x = 1,174.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.