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Finding the Fourth Proportional to 3,041.84, 4,559.52 and 1,310.60

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Solution

The fourth proportional to 3,041.84, 4,559.52 and 1,310.60 is: 1,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.84 : 4,559.52 = 1,310.60 : x
  2. Step 2: Convert to fraction form
    3,041.84/4,559.52 = 1,310.60/x
  3. Step 3: Cross multiply
    3,041.84x = 4,559.52 × 1,310.60
  4. Step 4: Simplify right side
    3,041.84x = 5,975,706.91
  5. Step 5: Solve for x
    x = 5,975,706.91/3,041.84
  6. Step 6: Final answer
    x = 1,964.50

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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.