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Finding the Fourth Proportional to 2,953.84, 4,430.10 and 873.28

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Solution

The fourth proportional to 2,953.84, 4,430.10 and 873.28 is: 1,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.84 : 4,430.10 = 873.28 : x
  2. Step 2: Convert to fraction form
    2,953.84/4,430.10 = 873.28/x
  3. Step 3: Cross multiply
    2,953.84x = 4,430.10 × 873.28
  4. Step 4: Simplify right side
    2,953.84x = 3,868,717.73
  5. Step 5: Solve for x
    x = 3,868,717.73/2,953.84
  6. Step 6: Final answer
    x = 1,309.72

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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.