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Finding the Fourth Proportional to 1,689.08, 2,323.20 and 1,356.78

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Solution

The fourth proportional to 1,689.08, 2,323.20 and 1,356.78 is: 1,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.08 : 2,323.20 = 1,356.78 : x
  2. Step 2: Convert to fraction form
    1,689.08/2,323.20 = 1,356.78/x
  3. Step 3: Cross multiply
    1,689.08x = 2,323.20 × 1,356.78
  4. Step 4: Simplify right side
    1,689.08x = 3,152,071.30
  5. Step 5: Solve for x
    x = 3,152,071.30/1,689.08
  6. Step 6: Final answer
    x = 1,866.15

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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.