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Finding the Fourth Proportional to 3,102.19, 4,653.42 and 910.93

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Solution

The fourth proportional to 3,102.19, 4,653.42 and 910.93 is: 1,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.19 : 4,653.42 = 910.93 : x
  2. Step 2: Convert to fraction form
    3,102.19/4,653.42 = 910.93/x
  3. Step 3: Cross multiply
    3,102.19x = 4,653.42 × 910.93
  4. Step 4: Simplify right side
    3,102.19x = 4,238,939.88
  5. Step 5: Solve for x
    x = 4,238,939.88/3,102.19
  6. Step 6: Final answer
    x = 1,366.43

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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.