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Finding the Fourth Proportional to 2,434.40, 3,649.79 and 972.44

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Solution

The fourth proportional to 2,434.40, 3,649.79 and 972.44 is: 1,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.40 : 3,649.79 = 972.44 : x
  2. Step 2: Convert to fraction form
    2,434.40/3,649.79 = 972.44/x
  3. Step 3: Cross multiply
    2,434.40x = 3,649.79 × 972.44
  4. Step 4: Simplify right side
    2,434.40x = 3,549,185.97
  5. Step 5: Solve for x
    x = 3,549,185.97/2,434.40
  6. Step 6: Final answer
    x = 1,457.93

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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.