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Finding the Fourth Proportional to 1,881.84, 2,596.76 and 1,489.84

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Solution

The fourth proportional to 1,881.84, 2,596.76 and 1,489.84 is: 2,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.84 : 2,596.76 = 1,489.84 : x
  2. Step 2: Convert to fraction form
    1,881.84/2,596.76 = 1,489.84/x
  3. Step 3: Cross multiply
    1,881.84x = 2,596.76 × 1,489.84
  4. Step 4: Simplify right side
    1,881.84x = 3,868,756.92
  5. Step 5: Solve for x
    x = 3,868,756.92/1,881.84
  6. Step 6: Final answer
    x = 2,055.84

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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.