Home / 1,827.84-2,742.54-1,211.76

Finding the Fourth Proportional to 1,827.84, 2,742.54 and 1,211.76

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Solution

The fourth proportional to 1,827.84, 2,742.54 and 1,211.76 is: 1,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.84 : 2,742.54 = 1,211.76 : x
  2. Step 2: Convert to fraction form
    1,827.84/2,742.54 = 1,211.76/x
  3. Step 3: Cross multiply
    1,827.84x = 2,742.54 × 1,211.76
  4. Step 4: Simplify right side
    1,827.84x = 3,323,300.27
  5. Step 5: Solve for x
    x = 3,323,300.27/1,827.84
  6. Step 6: Final answer
    x = 1,818.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.