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Finding the Fourth Proportional to 1,434.81, 2,150.76 and 972.63

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Solution

The fourth proportional to 1,434.81, 2,150.76 and 972.63 is: 1,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.81 : 2,150.76 = 972.63 : x
  2. Step 2: Convert to fraction form
    1,434.81/2,150.76 = 972.63/x
  3. Step 3: Cross multiply
    1,434.81x = 2,150.76 × 972.63
  4. Step 4: Simplify right side
    1,434.81x = 2,091,893.70
  5. Step 5: Solve for x
    x = 2,091,893.70/1,434.81
  6. Step 6: Final answer
    x = 1,457.96

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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.