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Finding the Fourth Proportional to 1,717.34, 2,574.47 and 743.11

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Solution

The fourth proportional to 1,717.34, 2,574.47 and 743.11 is: 1,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.34 : 2,574.47 = 743.11 : x
  2. Step 2: Convert to fraction form
    1,717.34/2,574.47 = 743.11/x
  3. Step 3: Cross multiply
    1,717.34x = 2,574.47 × 743.11
  4. Step 4: Simplify right side
    1,717.34x = 1,913,109.82
  5. Step 5: Solve for x
    x = 1,913,109.82/1,717.34
  6. Step 6: Final answer
    x = 1,114.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.