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Finding the Fourth Proportional to 2,325.02, 3,487.71 and 593.63

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Solution

The fourth proportional to 2,325.02, 3,487.71 and 593.63 is: 890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.02 : 3,487.71 = 593.63 : x
  2. Step 2: Convert to fraction form
    2,325.02/3,487.71 = 593.63/x
  3. Step 3: Cross multiply
    2,325.02x = 3,487.71 × 593.63
  4. Step 4: Simplify right side
    2,325.02x = 2,070,409.29
  5. Step 5: Solve for x
    x = 2,070,409.29/2,325.02
  6. Step 6: Final answer
    x = 890.49

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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.