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Finding the Fourth Proportional to 3,064.34, 4,597.44 and 1,602.68

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Solution

The fourth proportional to 3,064.34, 4,597.44 and 1,602.68 is: 2,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.34 : 4,597.44 = 1,602.68 : x
  2. Step 2: Convert to fraction form
    3,064.34/4,597.44 = 1,602.68/x
  3. Step 3: Cross multiply
    3,064.34x = 4,597.44 × 1,602.68
  4. Step 4: Simplify right side
    3,064.34x = 7,368,225.14
  5. Step 5: Solve for x
    x = 7,368,225.14/3,064.34
  6. Step 6: Final answer
    x = 2,404.51

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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.