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Finding the Fourth Proportional to 1,744.89, 2,410.34 and 1,417.38

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Solution

The fourth proportional to 1,744.89, 2,410.34 and 1,417.38 is: 1,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.89 : 2,410.34 = 1,417.38 : x
  2. Step 2: Convert to fraction form
    1,744.89/2,410.34 = 1,417.38/x
  3. Step 3: Cross multiply
    1,744.89x = 2,410.34 × 1,417.38
  4. Step 4: Simplify right side
    1,744.89x = 3,416,367.71
  5. Step 5: Solve for x
    x = 3,416,367.71/1,744.89
  6. Step 6: Final answer
    x = 1,957.93

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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.