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Finding the Fourth Proportional to 1,713.15, 2,361.96 and 1,122.66

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Solution

The fourth proportional to 1,713.15, 2,361.96 and 1,122.66 is: 1,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.15 : 2,361.96 = 1,122.66 : x
  2. Step 2: Convert to fraction form
    1,713.15/2,361.96 = 1,122.66/x
  3. Step 3: Cross multiply
    1,713.15x = 2,361.96 × 1,122.66
  4. Step 4: Simplify right side
    1,713.15x = 2,651,678.01
  5. Step 5: Solve for x
    x = 2,651,678.01/1,713.15
  6. Step 6: Final answer
    x = 1,547.84

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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.