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Finding the Fourth Proportional to 1,648.29, 2,462.98 and 1,617.51

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Solution

The fourth proportional to 1,648.29, 2,462.98 and 1,617.51 is: 2,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.29 : 2,462.98 = 1,617.51 : x
  2. Step 2: Convert to fraction form
    1,648.29/2,462.98 = 1,617.51/x
  3. Step 3: Cross multiply
    1,648.29x = 2,462.98 × 1,617.51
  4. Step 4: Simplify right side
    1,648.29x = 3,983,890.74
  5. Step 5: Solve for x
    x = 3,983,890.74/1,648.29
  6. Step 6: Final answer
    x = 2,416.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.