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Finding the Fourth Proportional to 2,045.27, 3,064.76 and 948.36

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Solution

The fourth proportional to 2,045.27, 3,064.76 and 948.36 is: 1,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.27 : 3,064.76 = 948.36 : x
  2. Step 2: Convert to fraction form
    2,045.27/3,064.76 = 948.36/x
  3. Step 3: Cross multiply
    2,045.27x = 3,064.76 × 948.36
  4. Step 4: Simplify right side
    2,045.27x = 2,906,491.05
  5. Step 5: Solve for x
    x = 2,906,491.05/2,045.27
  6. Step 6: Final answer
    x = 1,421.08

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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.