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Finding the Fourth Proportional to 1,740.34, 2,401.56 and 954.24

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Solution

The fourth proportional to 1,740.34, 2,401.56 and 954.24 is: 1,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.34 : 2,401.56 = 954.24 : x
  2. Step 2: Convert to fraction form
    1,740.34/2,401.56 = 954.24/x
  3. Step 3: Cross multiply
    1,740.34x = 2,401.56 × 954.24
  4. Step 4: Simplify right side
    1,740.34x = 2,291,655.61
  5. Step 5: Solve for x
    x = 2,291,655.61/1,740.34
  6. Step 6: Final answer
    x = 1,316.79

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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.