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Finding the Fourth Proportional to 1,599.90, 2,207.86 and 901.28

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Solution

The fourth proportional to 1,599.90, 2,207.86 and 901.28 is: 1,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.90 : 2,207.86 = 901.28 : x
  2. Step 2: Convert to fraction form
    1,599.90/2,207.86 = 901.28/x
  3. Step 3: Cross multiply
    1,599.90x = 2,207.86 × 901.28
  4. Step 4: Simplify right side
    1,599.90x = 1,989,900.06
  5. Step 5: Solve for x
    x = 1,989,900.06/1,599.90
  6. Step 6: Final answer
    x = 1,243.77

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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.