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Finding the Fourth Proportional to 3,641.05, 5,460.41 and 1,560.50

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Solution

The fourth proportional to 3,641.05, 5,460.41 and 1,560.50 is: 2,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.05 : 5,460.41 = 1,560.50 : x
  2. Step 2: Convert to fraction form
    3,641.05/5,460.41 = 1,560.50/x
  3. Step 3: Cross multiply
    3,641.05x = 5,460.41 × 1,560.50
  4. Step 4: Simplify right side
    3,641.05x = 8,520,966.88
  5. Step 5: Solve for x
    x = 8,520,966.88/3,641.05
  6. Step 6: Final answer
    x = 2,340.25

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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.