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Finding the Fourth Proportional to 1,914.65, 2,642.22 and 1,118.53

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Solution

The fourth proportional to 1,914.65, 2,642.22 and 1,118.53 is: 1,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.65 : 2,642.22 = 1,118.53 : x
  2. Step 2: Convert to fraction form
    1,914.65/2,642.22 = 1,118.53/x
  3. Step 3: Cross multiply
    1,914.65x = 2,642.22 × 1,118.53
  4. Step 4: Simplify right side
    1,914.65x = 2,955,395.73
  5. Step 5: Solve for x
    x = 2,955,395.73/1,914.65
  6. Step 6: Final answer
    x = 1,543.57

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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.