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Finding the Fourth Proportional to 1,740.57, 2,402.00 and 954.63

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Solution

The fourth proportional to 1,740.57, 2,402.00 and 954.63 is: 1,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.57 : 2,402.00 = 954.63 : x
  2. Step 2: Convert to fraction form
    1,740.57/2,402.00 = 954.63/x
  3. Step 3: Cross multiply
    1,740.57x = 2,402.00 × 954.63
  4. Step 4: Simplify right side
    1,740.57x = 2,293,016.49
  5. Step 5: Solve for x
    x = 2,293,016.49/1,740.57
  6. Step 6: Final answer
    x = 1,317.39

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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.