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Finding the Fourth Proportional to 1,625.65, 2,243.08 and 917.51

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Solution

The fourth proportional to 1,625.65, 2,243.08 and 917.51 is: 1,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.65 : 2,243.08 = 917.51 : x
  2. Step 2: Convert to fraction form
    1,625.65/2,243.08 = 917.51/x
  3. Step 3: Cross multiply
    1,625.65x = 2,243.08 × 917.51
  4. Step 4: Simplify right side
    1,625.65x = 2,058,034.82
  5. Step 5: Solve for x
    x = 2,058,034.82/1,625.65
  6. Step 6: Final answer
    x = 1,265.98

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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.