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Finding the Fourth Proportional to 1,652, 2,279.76 and 953.38

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Solution

The fourth proportional to 1,652, 2,279.76 and 953.38 is: 1,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652 : 2,279.76 = 953.38 : x
  2. Step 2: Convert to fraction form
    1,652/2,279.76 = 953.38/x
  3. Step 3: Cross multiply
    1,652x = 2,279.76 × 953.38
  4. Step 4: Simplify right side
    1,652x = 2,173,477.59
  5. Step 5: Solve for x
    x = 2,173,477.59/1,652
  6. Step 6: Final answer
    x = 1,315.66

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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.