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Finding the Fourth Proportional to 1,815.72, 2,503.01 and 1,416.93

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Solution

The fourth proportional to 1,815.72, 2,503.01 and 1,416.93 is: 1,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.72 : 2,503.01 = 1,416.93 : x
  2. Step 2: Convert to fraction form
    1,815.72/2,503.01 = 1,416.93/x
  3. Step 3: Cross multiply
    1,815.72x = 2,503.01 × 1,416.93
  4. Step 4: Simplify right side
    1,815.72x = 3,546,589.96
  5. Step 5: Solve for x
    x = 3,546,589.96/1,815.72
  6. Step 6: Final answer
    x = 1,953.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.