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Finding the Fourth Proportional to 1,690.47, 2,335.11 and 1,360.17

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Solution

The fourth proportional to 1,690.47, 2,335.11 and 1,360.17 is: 1,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.47 : 2,335.11 = 1,360.17 : x
  2. Step 2: Convert to fraction form
    1,690.47/2,335.11 = 1,360.17/x
  3. Step 3: Cross multiply
    1,690.47x = 2,335.11 × 1,360.17
  4. Step 4: Simplify right side
    1,690.47x = 3,176,146.57
  5. Step 5: Solve for x
    x = 3,176,146.57/1,690.47
  6. Step 6: Final answer
    x = 1,878.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.