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Finding the Fourth Proportional to 2,030.46, 3,045.41 and 876.06

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Solution

The fourth proportional to 2,030.46, 3,045.41 and 876.06 is: 1,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.46 : 3,045.41 = 876.06 : x
  2. Step 2: Convert to fraction form
    2,030.46/3,045.41 = 876.06/x
  3. Step 3: Cross multiply
    2,030.46x = 3,045.41 × 876.06
  4. Step 4: Simplify right side
    2,030.46x = 2,667,961.88
  5. Step 5: Solve for x
    x = 2,667,961.88/2,030.46
  6. Step 6: Final answer
    x = 1,313.97

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1.5x scale

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.