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Finding the Fourth Proportional to 1,606.48, 2,217.06 and 907.84

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Solution

The fourth proportional to 1,606.48, 2,217.06 and 907.84 is: 1,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.48 : 2,217.06 = 907.84 : x
  2. Step 2: Convert to fraction form
    1,606.48/2,217.06 = 907.84/x
  3. Step 3: Cross multiply
    1,606.48x = 2,217.06 × 907.84
  4. Step 4: Simplify right side
    1,606.48x = 2,012,735.75
  5. Step 5: Solve for x
    x = 2,012,735.75/1,606.48
  6. Step 6: Final answer
    x = 1,252.89

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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.