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Finding the Fourth Proportional to 4,482.31, 6,723.47 and 1,560.64

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Solution

The fourth proportional to 4,482.31, 6,723.47 and 1,560.64 is: 2,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.31 : 6,723.47 = 1,560.64 : x
  2. Step 2: Convert to fraction form
    4,482.31/6,723.47 = 1,560.64/x
  3. Step 3: Cross multiply
    4,482.31x = 6,723.47 × 1,560.64
  4. Step 4: Simplify right side
    4,482.31x = 10,492,916.22
  5. Step 5: Solve for x
    x = 10,492,916.22/4,482.31
  6. Step 6: Final answer
    x = 2,340.96

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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.