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Finding the Fourth Proportional to 1,606.52, 2,216.74 and 907.80

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Solution

The fourth proportional to 1,606.52, 2,216.74 and 907.80 is: 1,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.52 : 2,216.74 = 907.80 : x
  2. Step 2: Convert to fraction form
    1,606.52/2,216.74 = 907.80/x
  3. Step 3: Cross multiply
    1,606.52x = 2,216.74 × 907.80
  4. Step 4: Simplify right side
    1,606.52x = 2,012,356.57
  5. Step 5: Solve for x
    x = 2,012,356.57/1,606.52
  6. Step 6: Final answer
    x = 1,252.62

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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.