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Finding the Fourth Proportional to 1,689.44, 2,323.70 and 1,357.12

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Solution

The fourth proportional to 1,689.44, 2,323.70 and 1,357.12 is: 1,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.44 : 2,323.70 = 1,357.12 : x
  2. Step 2: Convert to fraction form
    1,689.44/2,323.70 = 1,357.12/x
  3. Step 3: Cross multiply
    1,689.44x = 2,323.70 × 1,357.12
  4. Step 4: Simplify right side
    1,689.44x = 3,153,539.74
  5. Step 5: Solve for x
    x = 3,153,539.74/1,689.44
  6. Step 6: Final answer
    x = 1,866.62

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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.