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Finding the Fourth Proportional to 3,106.84, 4,658.67 and 915.29

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Solution

The fourth proportional to 3,106.84, 4,658.67 and 915.29 is: 1,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.84 : 4,658.67 = 915.29 : x
  2. Step 2: Convert to fraction form
    3,106.84/4,658.67 = 915.29/x
  3. Step 3: Cross multiply
    3,106.84x = 4,658.67 × 915.29
  4. Step 4: Simplify right side
    3,106.84x = 4,264,006.19
  5. Step 5: Solve for x
    x = 4,264,006.19/3,106.84
  6. Step 6: Final answer
    x = 1,372.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.