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Finding the Fourth Proportional to 3,038.76, 4,557.91 and 958.83

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Solution

The fourth proportional to 3,038.76, 4,557.91 and 958.83 is: 1,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.76 : 4,557.91 = 958.83 : x
  2. Step 2: Convert to fraction form
    3,038.76/4,557.91 = 958.83/x
  3. Step 3: Cross multiply
    3,038.76x = 4,557.91 × 958.83
  4. Step 4: Simplify right side
    3,038.76x = 4,370,260.85
  5. Step 5: Solve for x
    x = 4,370,260.85/3,038.76
  6. Step 6: Final answer
    x = 1,438.17

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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.