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Finding the Fourth Proportional to 1,626.94, 2,441.80 and 653.74

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Solution

The fourth proportional to 1,626.94, 2,441.80 and 653.74 is: 981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.94 : 2,441.80 = 653.74 : x
  2. Step 2: Convert to fraction form
    1,626.94/2,441.80 = 653.74/x
  3. Step 3: Cross multiply
    1,626.94x = 2,441.80 × 653.74
  4. Step 4: Simplify right side
    1,626.94x = 1,596,302.33
  5. Step 5: Solve for x
    x = 1,596,302.33/1,626.94
  6. Step 6: Final answer
    x = 981.17

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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.