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Finding the Fourth Proportional to 1,690.71, 2,530.31 and 1,417.11

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Solution

The fourth proportional to 1,690.71, 2,530.31 and 1,417.11 is: 2,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.71 : 2,530.31 = 1,417.11 : x
  2. Step 2: Convert to fraction form
    1,690.71/2,530.31 = 1,417.11/x
  3. Step 3: Cross multiply
    1,690.71x = 2,530.31 × 1,417.11
  4. Step 4: Simplify right side
    1,690.71x = 3,585,720.52
  5. Step 5: Solve for x
    x = 3,585,720.52/1,690.71
  6. Step 6: Final answer
    x = 2,120.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.