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Finding the Fourth Proportional to 1,689.19, 2,532.07 and 810.40

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Solution

The fourth proportional to 1,689.19, 2,532.07 and 810.40 is: 1,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.19 : 2,532.07 = 810.40 : x
  2. Step 2: Convert to fraction form
    1,689.19/2,532.07 = 810.40/x
  3. Step 3: Cross multiply
    1,689.19x = 2,532.07 × 810.40
  4. Step 4: Simplify right side
    1,689.19x = 2,051,984.21
  5. Step 5: Solve for x
    x = 2,051,984.21/1,689.19
  6. Step 6: Final answer
    x = 1,214.78

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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.