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Finding the Fourth Proportional to 1,689.12, 2,533.68 and 1,366.74

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Solution

The fourth proportional to 1,689.12, 2,533.68 and 1,366.74 is: 2,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.12 : 2,533.68 = 1,366.74 : x
  2. Step 2: Convert to fraction form
    1,689.12/2,533.68 = 1,366.74/x
  3. Step 3: Cross multiply
    1,689.12x = 2,533.68 × 1,366.74
  4. Step 4: Simplify right side
    1,689.12x = 3,462,881.80
  5. Step 5: Solve for x
    x = 3,462,881.80/1,689.12
  6. Step 6: Final answer
    x = 2,050.11

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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.