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Finding the Fourth Proportional to 3,106.49, 4,660.47 and 915.14

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Solution

The fourth proportional to 3,106.49, 4,660.47 and 915.14 is: 1,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.49 : 4,660.47 = 915.14 : x
  2. Step 2: Convert to fraction form
    3,106.49/4,660.47 = 915.14/x
  3. Step 3: Cross multiply
    3,106.49x = 4,660.47 × 915.14
  4. Step 4: Simplify right side
    3,106.49x = 4,264,994.17
  5. Step 5: Solve for x
    x = 4,264,994.17/3,106.49
  6. Step 6: Final answer
    x = 1,372.93

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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.