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Finding the Fourth Proportional to 1,690.67, 2,335.38 and 1,360.35

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Solution

The fourth proportional to 1,690.67, 2,335.38 and 1,360.35 is: 1,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.67 : 2,335.38 = 1,360.35 : x
  2. Step 2: Convert to fraction form
    1,690.67/2,335.38 = 1,360.35/x
  3. Step 3: Cross multiply
    1,690.67x = 2,335.38 × 1,360.35
  4. Step 4: Simplify right side
    1,690.67x = 3,176,934.18
  5. Step 5: Solve for x
    x = 3,176,934.18/1,690.67
  6. Step 6: Final answer
    x = 1,879.10

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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.