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Finding the Fourth Proportional to 4,304.70, 6,455.13 and 1,225.98

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Solution

The fourth proportional to 4,304.70, 6,455.13 and 1,225.98 is: 1,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.70 : 6,455.13 = 1,225.98 : x
  2. Step 2: Convert to fraction form
    4,304.70/6,455.13 = 1,225.98/x
  3. Step 3: Cross multiply
    4,304.70x = 6,455.13 × 1,225.98
  4. Step 4: Simplify right side
    4,304.70x = 7,913,860.28
  5. Step 5: Solve for x
    x = 7,913,860.28/4,304.70
  6. Step 6: Final answer
    x = 1,838.42

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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.