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Finding the Fourth Proportional to 1,758.79, 2,649.92 and 1,592.22

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Solution

The fourth proportional to 1,758.79, 2,649.92 and 1,592.22 is: 2,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.79 : 2,649.92 = 1,592.22 : x
  2. Step 2: Convert to fraction form
    1,758.79/2,649.92 = 1,592.22/x
  3. Step 3: Cross multiply
    1,758.79x = 2,649.92 × 1,592.22
  4. Step 4: Simplify right side
    1,758.79x = 4,219,247.66
  5. Step 5: Solve for x
    x = 4,219,247.66/1,758.79
  6. Step 6: Final answer
    x = 2,398.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.