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Finding the Fourth Proportional to 3,065.02, 4,597.26 and 1,013.02

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Solution

The fourth proportional to 3,065.02, 4,597.26 and 1,013.02 is: 1,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.02 : 4,597.26 = 1,013.02 : x
  2. Step 2: Convert to fraction form
    3,065.02/4,597.26 = 1,013.02/x
  3. Step 3: Cross multiply
    3,065.02x = 4,597.26 × 1,013.02
  4. Step 4: Simplify right side
    3,065.02x = 4,657,116.33
  5. Step 5: Solve for x
    x = 4,657,116.33/3,065.02
  6. Step 6: Final answer
    x = 1,519.44

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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.