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Finding the Fourth Proportional to 1,746, 2,410.92 and 1,527.48

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Solution

The fourth proportional to 1,746, 2,410.92 and 1,527.48 is: 2,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746 : 2,410.92 = 1,527.48 : x
  2. Step 2: Convert to fraction form
    1,746/2,410.92 = 1,527.48/x
  3. Step 3: Cross multiply
    1,746x = 2,410.92 × 1,527.48
  4. Step 4: Simplify right side
    1,746x = 3,682,632.08
  5. Step 5: Solve for x
    x = 3,682,632.08/1,746
  6. Step 6: Final answer
    x = 2,109.18

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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.