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Finding the Fourth Proportional to 2,417.48, 3,626.23 and 857.14

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Solution

The fourth proportional to 2,417.48, 3,626.23 and 857.14 is: 1,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.48 : 3,626.23 = 857.14 : x
  2. Step 2: Convert to fraction form
    2,417.48/3,626.23 = 857.14/x
  3. Step 3: Cross multiply
    2,417.48x = 3,626.23 × 857.14
  4. Step 4: Simplify right side
    2,417.48x = 3,108,186.78
  5. Step 5: Solve for x
    x = 3,108,186.78/2,417.48
  6. Step 6: Final answer
    x = 1,285.71

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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.