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Finding the Fourth Proportional to 2,953.30, 4,428.90 and 1,306.90

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Solution

The fourth proportional to 2,953.30, 4,428.90 and 1,306.90 is: 1,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.30 : 4,428.90 = 1,306.90 : x
  2. Step 2: Convert to fraction form
    2,953.30/4,428.90 = 1,306.90/x
  3. Step 3: Cross multiply
    2,953.30x = 4,428.90 × 1,306.90
  4. Step 4: Simplify right side
    2,953.30x = 5,788,129.41
  5. Step 5: Solve for x
    x = 5,788,129.41/2,953.30
  6. Step 6: Final answer
    x = 1,959.89

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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.