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Finding the Fourth Proportional to 2,102.63, 2,902.53 and 1,317.13

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Solution

The fourth proportional to 2,102.63, 2,902.53 and 1,317.13 is: 1,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.63 : 2,902.53 = 1,317.13 : x
  2. Step 2: Convert to fraction form
    2,102.63/2,902.53 = 1,317.13/x
  3. Step 3: Cross multiply
    2,102.63x = 2,902.53 × 1,317.13
  4. Step 4: Simplify right side
    2,102.63x = 3,823,007.02
  5. Step 5: Solve for x
    x = 3,823,007.02/2,102.63
  6. Step 6: Final answer
    x = 1,818.21

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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.