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Finding the Fourth Proportional to 2,458.96, 3,686.37 and 999.14

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Solution

The fourth proportional to 2,458.96, 3,686.37 and 999.14 is: 1,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.96 : 3,686.37 = 999.14 : x
  2. Step 2: Convert to fraction form
    2,458.96/3,686.37 = 999.14/x
  3. Step 3: Cross multiply
    2,458.96x = 3,686.37 × 999.14
  4. Step 4: Simplify right side
    2,458.96x = 3,683,199.72
  5. Step 5: Solve for x
    x = 3,683,199.72/2,458.96
  6. Step 6: Final answer
    x = 1,497.87

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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.