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Finding the Fourth Proportional to 2,431.51, 3,646.71 and 950.76

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Solution

The fourth proportional to 2,431.51, 3,646.71 and 950.76 is: 1,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.51 : 3,646.71 = 950.76 : x
  2. Step 2: Convert to fraction form
    2,431.51/3,646.71 = 950.76/x
  3. Step 3: Cross multiply
    2,431.51x = 3,646.71 × 950.76
  4. Step 4: Simplify right side
    2,431.51x = 3,467,146.00
  5. Step 5: Solve for x
    x = 3,467,146.00/2,431.51
  6. Step 6: Final answer
    x = 1,425.92

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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.