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Finding the Fourth Proportional to 3,266.64, 4,897.53 and 1,416.20

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Solution

The fourth proportional to 3,266.64, 4,897.53 and 1,416.20 is: 2,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.64 : 4,897.53 = 1,416.20 : x
  2. Step 2: Convert to fraction form
    3,266.64/4,897.53 = 1,416.20/x
  3. Step 3: Cross multiply
    3,266.64x = 4,897.53 × 1,416.20
  4. Step 4: Simplify right side
    3,266.64x = 6,935,857.50
  5. Step 5: Solve for x
    x = 6,935,857.50/3,266.64
  6. Step 6: Final answer
    x = 2,123.24

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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.