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Finding the Fourth Proportional to 1,461.38, 2,192.64 and 595.76

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Solution

The fourth proportional to 1,461.38, 2,192.64 and 595.76 is: 893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.38 : 2,192.64 = 595.76 : x
  2. Step 2: Convert to fraction form
    1,461.38/2,192.64 = 595.76/x
  3. Step 3: Cross multiply
    1,461.38x = 2,192.64 × 595.76
  4. Step 4: Simplify right side
    1,461.38x = 1,306,287.21
  5. Step 5: Solve for x
    x = 1,306,287.21/1,461.38
  6. Step 6: Final answer
    x = 893.87

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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.