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Finding the Fourth Proportional to 1,630.66, 2,250.10 and 922.40

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Solution

The fourth proportional to 1,630.66, 2,250.10 and 922.40 is: 1,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.66 : 2,250.10 = 922.40 : x
  2. Step 2: Convert to fraction form
    1,630.66/2,250.10 = 922.40/x
  3. Step 3: Cross multiply
    1,630.66x = 2,250.10 × 922.40
  4. Step 4: Simplify right side
    1,630.66x = 2,075,492.24
  5. Step 5: Solve for x
    x = 2,075,492.24/1,630.66
  6. Step 6: Final answer
    x = 1,272.79

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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.