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Finding the Fourth Proportional to 1,786, 2,465.76 and 1,166.08

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Solution

The fourth proportional to 1,786, 2,465.76 and 1,166.08 is: 1,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 2,465.76 = 1,166.08 : x
  2. Step 2: Convert to fraction form
    1,786/2,465.76 = 1,166.08/x
  3. Step 3: Cross multiply
    1,786x = 2,465.76 × 1,166.08
  4. Step 4: Simplify right side
    1,786x = 2,875,273.42
  5. Step 5: Solve for x
    x = 2,875,273.42/1,786
  6. Step 6: Final answer
    x = 1,609.90

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