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Finding the Fourth Proportional to 1,902.51, 2,624.17 and 1,653.41

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Solution

The fourth proportional to 1,902.51, 2,624.17 and 1,653.41 is: 2,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.51 : 2,624.17 = 1,653.41 : x
  2. Step 2: Convert to fraction form
    1,902.51/2,624.17 = 1,653.41/x
  3. Step 3: Cross multiply
    1,902.51x = 2,624.17 × 1,653.41
  4. Step 4: Simplify right side
    1,902.51x = 4,338,811.67
  5. Step 5: Solve for x
    x = 4,338,811.67/1,902.51
  6. Step 6: Final answer
    x = 2,280.57

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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.