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Finding the Fourth Proportional to 1,740.28, 2,401.62 and 954.28

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Solution

The fourth proportional to 1,740.28, 2,401.62 and 954.28 is: 1,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.28 : 2,401.62 = 954.28 : x
  2. Step 2: Convert to fraction form
    1,740.28/2,401.62 = 954.28/x
  3. Step 3: Cross multiply
    1,740.28x = 2,401.62 × 954.28
  4. Step 4: Simplify right side
    1,740.28x = 2,291,817.93
  5. Step 5: Solve for x
    x = 2,291,817.93/1,740.28
  6. Step 6: Final answer
    x = 1,316.92

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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.