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Finding the Fourth Proportional to 1,649.64, 2,276.49 and 951

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Solution

The fourth proportional to 1,649.64, 2,276.49 and 951 is: 1,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.64 : 2,276.49 = 951 : x
  2. Step 2: Convert to fraction form
    1,649.64/2,276.49 = 951/x
  3. Step 3: Cross multiply
    1,649.64x = 2,276.49 × 951
  4. Step 4: Simplify right side
    1,649.64x = 2,164,941.99
  5. Step 5: Solve for x
    x = 2,164,941.99/1,649.64
  6. Step 6: Final answer
    x = 1,312.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.