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Finding the Fourth Proportional to 1,635.55, 2,453.98 and 595.62

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Solution

The fourth proportional to 1,635.55, 2,453.98 and 595.62 is: 893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.55 : 2,453.98 = 595.62 : x
  2. Step 2: Convert to fraction form
    1,635.55/2,453.98 = 595.62/x
  3. Step 3: Cross multiply
    1,635.55x = 2,453.98 × 595.62
  4. Step 4: Simplify right side
    1,635.55x = 1,461,644.42
  5. Step 5: Solve for x
    x = 1,461,644.42/1,635.55
  6. Step 6: Final answer
    x = 893.67

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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.