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Finding the Fourth Proportional to 3,106.98, 4,659.35 and 915.03

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Solution

The fourth proportional to 3,106.98, 4,659.35 and 915.03 is: 1,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.98 : 4,659.35 = 915.03 : x
  2. Step 2: Convert to fraction form
    3,106.98/4,659.35 = 915.03/x
  3. Step 3: Cross multiply
    3,106.98x = 4,659.35 × 915.03
  4. Step 4: Simplify right side
    3,106.98x = 4,263,440.46
  5. Step 5: Solve for x
    x = 4,263,440.46/3,106.98
  6. Step 6: Final answer
    x = 1,372.21

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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.