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Finding the Fourth Proportional to 1,381.64, 1,906.74 and 915.56

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Solution

The fourth proportional to 1,381.64, 1,906.74 and 915.56 is: 1,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.64 : 1,906.74 = 915.56 : x
  2. Step 2: Convert to fraction form
    1,381.64/1,906.74 = 915.56/x
  3. Step 3: Cross multiply
    1,381.64x = 1,906.74 × 915.56
  4. Step 4: Simplify right side
    1,381.64x = 1,745,734.87
  5. Step 5: Solve for x
    x = 1,745,734.87/1,381.64
  6. Step 6: Final answer
    x = 1,263.52

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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.