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Finding the Fourth Proportional to 3,084.47, 4,626.70 and 1,032.47

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Solution

The fourth proportional to 3,084.47, 4,626.70 and 1,032.47 is: 1,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.47 : 4,626.70 = 1,032.47 : x
  2. Step 2: Convert to fraction form
    3,084.47/4,626.70 = 1,032.47/x
  3. Step 3: Cross multiply
    3,084.47x = 4,626.70 × 1,032.47
  4. Step 4: Simplify right side
    3,084.47x = 4,776,926.39
  5. Step 5: Solve for x
    x = 4,776,926.39/3,084.47
  6. Step 6: Final answer
    x = 1,548.70

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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.