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Finding the Fourth Proportional to 2,424.70, 3,346.01 and 1,376.70

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Solution

The fourth proportional to 2,424.70, 3,346.01 and 1,376.70 is: 1,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.70 : 3,346.01 = 1,376.70 : x
  2. Step 2: Convert to fraction form
    2,424.70/3,346.01 = 1,376.70/x
  3. Step 3: Cross multiply
    2,424.70x = 3,346.01 × 1,376.70
  4. Step 4: Simplify right side
    2,424.70x = 4,606,428.35
  5. Step 5: Solve for x
    x = 4,606,428.35/2,424.70
  6. Step 6: Final answer
    x = 1,899.79

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1.5x scale

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.