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Finding the Fourth Proportional to 1,625.23, 2,242.82 and 907.41

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Solution

The fourth proportional to 1,625.23, 2,242.82 and 907.41 is: 1,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.23 : 2,242.82 = 907.41 : x
  2. Step 2: Convert to fraction form
    1,625.23/2,242.82 = 907.41/x
  3. Step 3: Cross multiply
    1,625.23x = 2,242.82 × 907.41
  4. Step 4: Simplify right side
    1,625.23x = 2,035,167.98
  5. Step 5: Solve for x
    x = 2,035,167.98/1,625.23
  6. Step 6: Final answer
    x = 1,252.23

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1.5x scale

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.