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Finding the Fourth Proportional to 2,943, 4,061.34 and 1,823.58

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Solution

The fourth proportional to 2,943, 4,061.34 and 1,823.58 is: 2,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 4,061.34 = 1,823.58 : x
  2. Step 2: Convert to fraction form
    2,943/4,061.34 = 1,823.58/x
  3. Step 3: Cross multiply
    2,943x = 4,061.34 × 1,823.58
  4. Step 4: Simplify right side
    2,943x = 7,406,178.40
  5. Step 5: Solve for x
    x = 7,406,178.40/2,943
  6. Step 6: Final answer
    x = 2,516.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.