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Finding the Fourth Proportional to 1,717.74, 2,370.96 and 1,019.52

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Solution

The fourth proportional to 1,717.74, 2,370.96 and 1,019.52 is: 1,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.74 : 2,370.96 = 1,019.52 : x
  2. Step 2: Convert to fraction form
    1,717.74/2,370.96 = 1,019.52/x
  3. Step 3: Cross multiply
    1,717.74x = 2,370.96 × 1,019.52
  4. Step 4: Simplify right side
    1,717.74x = 2,417,241.14
  5. Step 5: Solve for x
    x = 2,417,241.14/1,717.74
  6. Step 6: Final answer
    x = 1,407.22

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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.