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Finding the Fourth Proportional to 3,035.95, 4,554.11 and 956.02

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Solution

The fourth proportional to 3,035.95, 4,554.11 and 956.02 is: 1,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.95 : 4,554.11 = 956.02 : x
  2. Step 2: Convert to fraction form
    3,035.95/4,554.11 = 956.02/x
  3. Step 3: Cross multiply
    3,035.95x = 4,554.11 × 956.02
  4. Step 4: Simplify right side
    3,035.95x = 4,353,814.41
  5. Step 5: Solve for x
    x = 4,353,814.41/3,035.95
  6. Step 6: Final answer
    x = 1,434.09

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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.