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Finding the Fourth Proportional to 1,603.68, 2,403.31 and 1,213.35

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Solution

The fourth proportional to 1,603.68, 2,403.31 and 1,213.35 is: 1,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.68 : 2,403.31 = 1,213.35 : x
  2. Step 2: Convert to fraction form
    1,603.68/2,403.31 = 1,213.35/x
  3. Step 3: Cross multiply
    1,603.68x = 2,403.31 × 1,213.35
  4. Step 4: Simplify right side
    1,603.68x = 2,916,056.19
  5. Step 5: Solve for x
    x = 2,916,056.19/1,603.68
  6. Step 6: Final answer
    x = 1,818.35

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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.