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Finding the Fourth Proportional to 2,011.84, 2,773.47 and 1,381.35

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Solution

The fourth proportional to 2,011.84, 2,773.47 and 1,381.35 is: 1,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.84 : 2,773.47 = 1,381.35 : x
  2. Step 2: Convert to fraction form
    2,011.84/2,773.47 = 1,381.35/x
  3. Step 3: Cross multiply
    2,011.84x = 2,773.47 × 1,381.35
  4. Step 4: Simplify right side
    2,011.84x = 3,831,148.37
  5. Step 5: Solve for x
    x = 3,831,148.37/2,011.84
  6. Step 6: Final answer
    x = 1,904.30

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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.