Home / 1,827.42-2,743.50-1,569.09

Finding the Fourth Proportional to 1,827.42, 2,743.50 and 1,569.09

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Solution

The fourth proportional to 1,827.42, 2,743.50 and 1,569.09 is: 2,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.42 : 2,743.50 = 1,569.09 : x
  2. Step 2: Convert to fraction form
    1,827.42/2,743.50 = 1,569.09/x
  3. Step 3: Cross multiply
    1,827.42x = 2,743.50 × 1,569.09
  4. Step 4: Simplify right side
    1,827.42x = 4,304,798.42
  5. Step 5: Solve for x
    x = 4,304,798.42/1,827.42
  6. Step 6: Final answer
    x = 2,355.67

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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.