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Finding the Fourth Proportional to 1,865, 2,573.76 and 1,166

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Solution

The fourth proportional to 1,865, 2,573.76 and 1,166 is: 1,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865 : 2,573.76 = 1,166 : x
  2. Step 2: Convert to fraction form
    1,865/2,573.76 = 1,166/x
  3. Step 3: Cross multiply
    1,865x = 2,573.76 × 1,166
  4. Step 4: Simplify right side
    1,865x = 3,001,004.16
  5. Step 5: Solve for x
    x = 3,001,004.16/1,865
  6. Step 6: Final answer
    x = 1,609.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.