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Finding the Fourth Proportional to 1,649.01, 2,275.65 and 902.98

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Solution

The fourth proportional to 1,649.01, 2,275.65 and 902.98 is: 1,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.01 : 2,275.65 = 902.98 : x
  2. Step 2: Convert to fraction form
    1,649.01/2,275.65 = 902.98/x
  3. Step 3: Cross multiply
    1,649.01x = 2,275.65 × 902.98
  4. Step 4: Simplify right side
    1,649.01x = 2,054,857.36
  5. Step 5: Solve for x
    x = 2,054,857.36/1,649.01
  6. Step 6: Final answer
    x = 1,246.11

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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.