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Finding the Fourth Proportional to 1,649, 2,275.70 and 913

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Solution

The fourth proportional to 1,649, 2,275.70 and 913 is: 1,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649 : 2,275.70 = 913 : x
  2. Step 2: Convert to fraction form
    1,649/2,275.70 = 913/x
  3. Step 3: Cross multiply
    1,649x = 2,275.70 × 913
  4. Step 4: Simplify right side
    1,649x = 2,077,714.10
  5. Step 5: Solve for x
    x = 2,077,714.10/1,649
  6. Step 6: Final answer
    x = 1,259.98

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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.