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Finding the Fourth Proportional to 2,532.66, 3,799.17 and 973.41

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Solution

The fourth proportional to 2,532.66, 3,799.17 and 973.41 is: 1,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.66 : 3,799.17 = 973.41 : x
  2. Step 2: Convert to fraction form
    2,532.66/3,799.17 = 973.41/x
  3. Step 3: Cross multiply
    2,532.66x = 3,799.17 × 973.41
  4. Step 4: Simplify right side
    2,532.66x = 3,698,150.07
  5. Step 5: Solve for x
    x = 3,698,150.07/2,532.66
  6. Step 6: Final answer
    x = 1,460.18

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