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Finding the Fourth Proportional to 1,740.50, 2,401.90 and 954.58

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Solution

The fourth proportional to 1,740.50, 2,401.90 and 954.58 is: 1,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.50 : 2,401.90 = 954.58 : x
  2. Step 2: Convert to fraction form
    1,740.50/2,401.90 = 954.58/x
  3. Step 3: Cross multiply
    1,740.50x = 2,401.90 × 954.58
  4. Step 4: Simplify right side
    1,740.50x = 2,292,805.70
  5. Step 5: Solve for x
    x = 2,292,805.70/1,740.50
  6. Step 6: Final answer
    x = 1,317.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.