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Finding the Fourth Proportional to 1,689.46, 2,533.28 and 909.23

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Solution

The fourth proportional to 1,689.46, 2,533.28 and 909.23 is: 1,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.46 : 2,533.28 = 909.23 : x
  2. Step 2: Convert to fraction form
    1,689.46/2,533.28 = 909.23/x
  3. Step 3: Cross multiply
    1,689.46x = 2,533.28 × 909.23
  4. Step 4: Simplify right side
    1,689.46x = 2,303,316.96
  5. Step 5: Solve for x
    x = 2,303,316.96/1,689.46
  6. Step 6: Final answer
    x = 1,363.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.