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Finding the Fourth Proportional to 2,670.96, 4,005.06 and 915.68

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Solution

The fourth proportional to 2,670.96, 4,005.06 and 915.68 is: 1,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.96 : 4,005.06 = 915.68 : x
  2. Step 2: Convert to fraction form
    2,670.96/4,005.06 = 915.68/x
  3. Step 3: Cross multiply
    2,670.96x = 4,005.06 × 915.68
  4. Step 4: Simplify right side
    2,670.96x = 3,667,353.34
  5. Step 5: Solve for x
    x = 3,667,353.34/2,670.96
  6. Step 6: Final answer
    x = 1,373.05

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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.