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Finding the Fourth Proportional to 1,810.14, 2,714.93 and 1,503.96

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Solution

The fourth proportional to 1,810.14, 2,714.93 and 1,503.96 is: 2,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.14 : 2,714.93 = 1,503.96 : x
  2. Step 2: Convert to fraction form
    1,810.14/2,714.93 = 1,503.96/x
  3. Step 3: Cross multiply
    1,810.14x = 2,714.93 × 1,503.96
  4. Step 4: Simplify right side
    1,810.14x = 4,083,146.12
  5. Step 5: Solve for x
    x = 4,083,146.12/1,810.14
  6. Step 6: Final answer
    x = 2,255.71

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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.