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Finding the Fourth Proportional to 1,689.35, 2,333.09 and 1,292.45

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Solution

The fourth proportional to 1,689.35, 2,333.09 and 1,292.45 is: 1,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.35 : 2,333.09 = 1,292.45 : x
  2. Step 2: Convert to fraction form
    1,689.35/2,333.09 = 1,292.45/x
  3. Step 3: Cross multiply
    1,689.35x = 2,333.09 × 1,292.45
  4. Step 4: Simplify right side
    1,689.35x = 3,015,395.71
  5. Step 5: Solve for x
    x = 3,015,395.71/1,689.35
  6. Step 6: Final answer
    x = 1,784.94

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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.