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Finding the Fourth Proportional to 3,264.48, 4,897.20 and 956.16

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Solution

The fourth proportional to 3,264.48, 4,897.20 and 956.16 is: 1,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.48 : 4,897.20 = 956.16 : x
  2. Step 2: Convert to fraction form
    3,264.48/4,897.20 = 956.16/x
  3. Step 3: Cross multiply
    3,264.48x = 4,897.20 × 956.16
  4. Step 4: Simplify right side
    3,264.48x = 4,682,506.75
  5. Step 5: Solve for x
    x = 4,682,506.75/3,264.48
  6. Step 6: Final answer
    x = 1,434.38

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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.