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Finding the Fourth Proportional to 3,281.98, 4,923.59 and 1,061.40

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Solution

The fourth proportional to 3,281.98, 4,923.59 and 1,061.40 is: 1,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.98 : 4,923.59 = 1,061.40 : x
  2. Step 2: Convert to fraction form
    3,281.98/4,923.59 = 1,061.40/x
  3. Step 3: Cross multiply
    3,281.98x = 4,923.59 × 1,061.40
  4. Step 4: Simplify right side
    3,281.98x = 5,225,898.43
  5. Step 5: Solve for x
    x = 5,225,898.43/3,281.98
  6. Step 6: Final answer
    x = 1,592.30

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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.