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Finding the Fourth Proportional to 1,653.80, 2,478.02 and 873.76

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Solution

The fourth proportional to 1,653.80, 2,478.02 and 873.76 is: 1,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.80 : 2,478.02 = 873.76 : x
  2. Step 2: Convert to fraction form
    1,653.80/2,478.02 = 873.76/x
  3. Step 3: Cross multiply
    1,653.80x = 2,478.02 × 873.76
  4. Step 4: Simplify right side
    1,653.80x = 2,165,194.76
  5. Step 5: Solve for x
    x = 2,165,194.76/1,653.80
  6. Step 6: Final answer
    x = 1,309.22

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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.