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Finding the Fourth Proportional to 2,423, 3,343.74 and 1,427.92

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Solution

The fourth proportional to 2,423, 3,343.74 and 1,427.92 is: 1,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423 : 3,343.74 = 1,427.92 : x
  2. Step 2: Convert to fraction form
    2,423/3,343.74 = 1,427.92/x
  3. Step 3: Cross multiply
    2,423x = 3,343.74 × 1,427.92
  4. Step 4: Simplify right side
    2,423x = 4,774,593.22
  5. Step 5: Solve for x
    x = 4,774,593.22/2,423
  6. Step 6: Final answer
    x = 1,970.53

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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.